Stupid stat final

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure is reported to be 122 mmHg w a standard deviation of 15. The actual meal for pressure Barclays at the corporation is 125 and the Sd is 15. Using the actual mean determine the probability H0 will be rejected

124.6-125/(15/sr100)=-.355 P(z>-.355)=.64

A random sample of 65 high school seniors were selected from all high school seniors at the certain high school following scatterplot shows the height in centimeters and foot length for each senior. Based on the answer in part C would it be surprising to randomly select a high school senior from the high school with a foot length of 20 cm and a height greater than 65 cm?

157.06+8=165.06 No we expect about 9% of all highschoolers to be taller than 165 cm with foot length of 20

A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported the construction of walking trails in the community park. A study will be conducted with a sample of 20 people from the 300 people who responded yes and no. Two sampling methods have been proposed A simple random sample or a stratified random sample if the stratified random sample is used what is the number of people that will be selected from those who responded yes?

20/300=.0667 .0667x210=14 14 adults will be selected from those who responded yes

An environmental Science teacher at a high school with a large population of students want to test me the proportion of students at the school who regularly recycle plastic bottles. Based on the responses, I 95% comfortable for the proportion of all students at the school who respond yes was calculated as (.584,.816) The results of the sample showed that 213 of 300 students responded no. Based on the result of the sample give a point estimate for the proportion of our students at the high school

213-150=63 300-213=87 150-63=87 87/150=.58 The proportion of students who would respond yes is 58%

A bank categorizes its customers into one of their groups based on their baking habits. We were in a sample of 30 customers from each group are selected in the number of times they visited the bank during the past year was recorded. How many t-test will need to be conducted for the managers investigation?

3 tests, AB, ac, BC

Nine sales representative six men and three women at a small company wanted to attend a national convention calculate the probability that randomly selecting three people from the Group will result in selecting all women

3/9x2/8x1/7=1.2%

An environmental Science teacher at a high school with a large population of students want to test me the proportion of students at the school who regularly recycle plastic bottles. Based on the responses, I 95% comfortable for the proportion of all students at the school who respond yes was calculated as (.584,.816) what is the expected number of students from its sample of 300 he would be required to respond no because the coin flip resulted in heads?

300x1/2=150

The name of the water hole comes from the lake that lies between the tea and the starting point. Miguel has two approaches to hitting the ball the short hit or the long hit. A issue with the long hit is that the ball might land in the water. He thinks that if the long hair is successful his expected value improves to 4.2. However if it fails in the ball lands in the water his expected value would be worse and increase to 5.4.Let P represent the probability of a successful long hit. What values o

4.2(p)+5.4(1-p) <4.55 4.2(p)+5.4-5.4p<4.55 -1.24p<-.85 -1.2p/-1.2 <-.85/-1.2 P=.70833 Miguel needs to hit a probability greater than 70.8%

Add a plant that manufactures bars of steel a machine is used to cut the bars to Pacific lights the machine has a dial that sets the length of the bars to be cut however the dial is currently out of alignment and the plant manager is collecting data to assess the situation The test statistic for the appropriate test is T equals 9.018. Do the data provide convincing statistical evidence that there's a linear relationship?

9.018->.0001 N-2=6=df Because the P value is so low, we reject each know there's evidence supporting

A fair dice with its face is number 1 to 6 is one in which each number is equally likely to land face up on the dices road. A group of students wants to investigate a claim about manipulating a fair die so that favors one outcome. The students roll the manipulated dice 200 times in the number six landed face up 43 times.Determine the values of Z needed to create a one-sided 95% confidence interval then calculate the value of L

95%->-1.64 L=p+z*sr(p(1-p)/n) 43/200+(-1.645)sr(43/200)x(157/200)/200=.1672

A random sample of 65 high school seniors were selected from all high school seniors at the certain high school following scatterplot shows the height in centimeters and foot length for each senior. The standard deviation of the residuals is 5.9 interpret the value in context

If we use the smaller to predict the values of height from foot size are predictions will typically be off by about 5.9 cm

Fingerprint analysis in blood grouping are features that do not change the lifetime of an individual fingerprint features a pure early in the development of a fetus, and blood types are determined by genetics identify the conditions for the square inference procedure reflected in part a and indicate whether conditions are met

Independence Randomization 10% condition Expected cell frequency Data is count

A survey collected info on tv viewing habits from a sample of 100 ppl in the US. 37% said their fav sport was football. Based on your answer into part a is it reasonable to believe that 33% is the actual percent of people in the United States who's favorite sport to watch on TV is American football?

It is not reasonable to conclude that the population percent is 33% because .33 is not included in the confidence interval

Add a plant that manufactures bars of steel a machine is used to cut the bars to Pacific lights the machine has a dial that sets the length of the bars to be cut however the dial is currently out of alignment and the plant manager is collecting data to assess the situation use the data to construct a lease where aggression line to predict output length from dial settings

LinReg(L1,L2) y=ax+b Y=1.01x+2.204 R^2=.93 R=.96

Miguel is a golfer and he plays on the same course each week. The following table shows a probability for his score in one particula water hole. Calculate and interpret the expected value of X

M=E(x)= sum of P(x)= (3x.15)+(4x.4)+(5x.25)+(6x.15)+(7x.05)=4.55=about 5 If Miguel played this whole multiple times, his average score would be about 4.55 hits

To increase business the owner of the restaurant is running a promotion in which customer support bill can be randomly selected to receive a discount.A second random sample of the bills was taking those four times the size of the original sample in the second sample 50% of the bills receive the discount. Determine the value of the margin of error based on the second sample bills will be used to compute an interval for P with the same confidence level

ME=z*sr(pq/4n) .06/2=.015=(.12,.18)

Fingerprint analysis in blood grouping are features that do not change the lifetime of an individual fingerprint features a pure early in the development of a fetus, and blood types are determined by geneticsBiological anthropology is concerned with a comparative study of human origin evolution. Considering the sampling design for the study with a population is reasonable for the researchers to generalize their results?

Male students from that region

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure is reported to be 122 mmHg w a standard deviation of 15. Assume that ocean of the blood pressure is 15. If the meeting is 122 this is normal what values of the sample would represent so you can have he's too jacked and I'll hypothesis .005

One sided test H0 is rejected if Z>1.65 Z=X-mue0/(sd/sr n)>1.645 X-122/(15/sr100)=X-122/1.5>1.645 X>124.4

An environmental Science teacher at a high school with a large population of students want to test me the proportion of students at the school who regularly recycle plastic bottles. Based on the responses, I 95% comfortable for the proportion of all students at the school who respond yes was calculated as (.584,.816) how many students were in the sample selected by the environmental science teacher?

P+- z*sr(pq/n) ME=(.816-.584)/2=.116 P=.116+.584=.07 .116=1.96sr(.7x.3)/n=59.95 About 60 students

Independent random samples of 500 households were taken from a large metropolis area in the United States for the years 1950 and 2000 A researcher wants to use this data to construct a conference in a roll to estimate the change in mean state the conditions for using a 2sampleTtest procedure

Randomization 10% condition nearly normal conditions may proceed with two sample t-test

The following stem part shows the swimming speeds for a random sample of 31 emperor penguins The meat of the sample is 9.77 and standard deviation is .944 construct and interpret a 95% confidence interval for the main swimming speed of all emperor penguins in the population

Randomization 10% condition Nearly normal model Conditions may proceed with 1-propTint Tint(data,L1,1,.95)=(9.4,10.11) We are 95% confident that the emperor penguins average swimming speed will be between 9.4 and 10.1km/h

The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution. The manager surveyed a random sample of 765 visitors and recorded their age. A summary of the responses is shown in the frequency table, where X represents the age of the visitor. Construct a histogram of the distribution of ages

Use the table

A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported the construction of walking trails in the community park. A study will be conducted with a sample of 20 people from the 300 people who responded yes and no. Two sampling methods have been proposed A simple random sample or a stratified random sample describe a statistical advantage of using the stratified random sample instead of a simple random sample for the follow up

Using a stratified random sample will be more statistically accurate because it allows for accurate representation of the proportion of both groups

A fair dice with its face is number 1 to 6 is one in which each number is equally likely to land face up on the dices road. A group of students wants to investigate a claim about manipulating a fair die so that favors one outcome. The students roll the manipulated dice 200 times in the number six landed face up 43 times. A 95% confidence interval for P is .215+ -.057. Does the interval provide convincing statistical evidence that the number six will land face at more often than a fair die?

We are 95% confident that the proportion of times the six wall and face up on the big guy is between .1588.272 because one sixth is included in the interval we do not have convincing evidence to support the claim that six will land faced up more often

The name of the water hole comes from the lake that lies between the tea and the starting point. Miguel has two approaches to hitting the ball the short hit or the long hit. A issue with the long hit is that the ball might land in the water. He thinks that if the long hair is successful his expected value improves to 4.2. However if it fails in the ball lands in the water his expected value would be worse and increase to 5.4. Suppose the probability of a successful long hit is .4 which approach

(4.2x4)+(5.4x.6)=4.92>4.55 The short hair would be better and improving the expected value of the score because lower scores are better

The following table shows the annual income in dollars and amount spent on vacation, in dollars, for a sample of eight families. Calculate the coefficient of determination for the data and interpret the value in context

(On calc) stat>calculate>y=ax+b About 85% of the variation in vacation dollar spent can be accounted for by the linear model

A bank categorizes its customers into one of their groups based on their baking habits. We were in a sample of 30 customers from each group are selected in the number of times they visited the bank during the past year was recorded. The manager wants the family air rate to be close to .05 it's just a single significance level that could be used for all the individual teachers that will bring the family air rate close to .05 show work

.05/3=.017 P(s)=.017 and p(n)=.983 P(n and n and n)= .983^3=.9498 1-.9498=.05014

Miguel is a golfer and he plays on the same course each week. The following table shows a probability for his score in one particula water hole. Suppose one of the girls scores from the water hole us looked at random. What is the probability that Miguel score on the water hole is at most five?

.15+.4+.25=.8=80%

A survey collected info on tv viewing habits from a sample of 100 ppl in the US. 37% said their fav sport was football. Construct and interfere the a 95% confidence interval for the prop of all ppl in the us who say their fav sport is football.

1sampleZinterval P=.37 Randomization Large enough sample size (np and nq >_ 10) P+-z*sr(pq/n) .37+-1.96sr(.37x.63/1000)= (.34,.4) We are 95% confident that the proportion of all people in the United States who would indicate football is your favorite sport to watch on TV is between 34% and 40%

An environmental group conducted a study to determine whether crows in a certain region where ingesting food containing unhealthy levels of lead. What proportion of crows in a sample had lead levels that are classified by the biologist as unhealthy?

4/23= about 17%

Label to critical values for the 95% confidence level of the bell shaped thing in shade the area that represents valleys in the outer 5%

68 95, 99.5. 2.5 on each side +- 1.96 on each side

Label the critical value for the 5% significance level and Chey the area representing the valleys of Z that would lead to a rejection of the no hypothesis in part B.

68, 95, 99.5. 5% on the upper side 1.65 on same side

A fair dice with its face is number 1 to 6 is one in which each number is equally likely to land face up on the dices road. A group of students wants to investigate a claim about manipulating a fair die so that favors one outcome. The students roll the manipulated dice 200 times in the number six landed face up 43 times. Do you the results of the students one-sided conference in a gold interval agree with the results of the other students significant test in part B?

According to the one-sided interval we can be 95% confident that the proportion of times six will land face up is greater than 16.7% . because the value of 1/6 is not contained in the interval, the results agree with the significance test in part B the one sided confidence interval is equivalent to a one-sided significance test

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, and targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed. Describe the population of generalization if method two is used

All people using the community fitness center because the people were selected randomly

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, and targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed. Describe the population of generalization if method one is used. Explain your answer

All people willing to participate because there is no randomization(voluntary response bias)

A fair dice with its face is number 1 to 6 is one in which each number is equally likely to land face up on the dices road. A group of students wants to investigate a claim about manipulating a fair die so that favors one outcome. The students roll the manipulated dice 200 times in the number six landed face up 43 times. A student suggested that they conduct a significance test to investigate the claim. She tested the H0:p=1/6 and Ha=p>1/6 at the sig level .05 she obtained a test statistic of 1.

At the significant level of .05, the H0 is reject it. Because .033 is less than .05. There is convincing statistical evidence of the proportion of times six will land face up in the base die is greater than 1/6. This does not agree with the confidence interval in part a which suggest that 1/6 was a plausible value for the proportion of times a 6 will land face up

Psychologist interested in the relationship between meditation and health conducted a study with a random sample 28 men who live in a large retirement community. Based on the results of the simulation what can be concluded about the relationship between blood pressure and with a Tatian among men in the retirement community?

Because the main P value is so low we do not support 80 there is significant evidence supporting an association between meditation in lower blood sugar levels. But we cannot conclude because it is an observational study

The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution. The manager surveyed a random sample of 765 visitors and recorded their age. A summary of the responses is shown in the frequency table, where X represents the age of the visitor. Write a few sentences to describe the distribution of ages of the adult visitors to the resort.

By model, roughly symmetric, median 50- 60. Vary from 20 to 80, no outliers or gaps

A random sample of 65 high school seniors were selected from all high school seniors at the certain high school following scatterplot shows the height in centimeters and foot length for each senior. Calculate and interpret the residual for the high school senior with a foot length of 20 cm and a height of 160 cm

E=Yob-y Y=ax+b Y=2.599(20)+105.08=157.06 160-157.06=2.94

Add a financial institution a fraud detection system identify suspicious transactions and send them to a specialist for review. The specialist reviews the transaction customer profile and pass history. If there's significant evidence of fraud the transaction is blocked. Based on past history specials blocks 40% of the suspicious transactions. Determine the expected value of the random variable and interpret the expected value in context

Expect to review 2.5 until the first block on average. 1/p=1/.4=2.5

A marketing director for a beverage company conducted a study to investigate people sort of preferences in two regions of the country. Do the day to provide convincing statistical evidence at the level of .05 that the preferences are different between two regions of the country

H0- preference is the same no matter what region(p1=p2) Ha- there is a difference between preference and region Data is count randomization 10% condition expected cell frequency Conditions may proceed with X^2test of homogeneity Xtest(L1,L2)=. X=1.137 df=2 p=.566

A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer at the significance level of .05 does the data provide convincing statistical evidence that it is true

H0-(p1=p2) Ha-(p1<p2) Randomization 10% condition success failure Conditions may proceed with 2propZtest Z=(p1-p2)-0/se(o1-p2) 2propZtesy(15,500,26,500)

The researcher conducted a study to investigate whether local college dealers tend to charge women more than men for the same car model. Does the data provide convincing evidence that on average woman pay more than men in the county for the same car model?

H0-mue1=mue2 Nearly normal randomization 10% condition Conditions met proceed with paired t sample Tdf=mueD-0/SE(d) Ttest( )

The behavioral risk factor surveillance system is an ongoing health service system that tracks health conditions and risk behaviors in the United States does the data provide statistical evidence that there's an association between age group and whether or not a person consumes five or more servings of fruit

H0-there is no association between age and amount (p=0) Ha-there is an association between age and amount Randomization Counted data Expected cell frequency Conditions may proceed withx^2 test of independence X^2test X^2=8.98 P=.0112 Df=2

The ACL is one of the ligaments that help stabilize the knee. Surgery is often recommended if the acl is completely torn, and recovery time from the surgery is long. Two tests effectiveness of the new procedure a study was conducted in which 210 patients were randomly assigned to receive a standard or new procedure. Does the data provide convincing statistical evidence that this receives the new procedure will have less recovery time from surgery?

H0-there is no difference in mean recovery time (mue1=mue2) Ha- there is a difference in mean recovery time Randomization Independent group condition Nearly normal (n=100 large sample size) Conditions met, proceed w 2sampleTtest Tdf=X1-X2-0/sr(s1^2/n1 +s2^2/n2) 2sampleTtest(217,34,110,186,29,100)

Add a plant that manufactures bars of steel a machine is used to cut the bars to Pacific lights the machine has a dial that sets the length of the bars to be cut however the dial is currently out of alignment and the plant manager is collecting data to assess the situation. Indicate the hypothesis appropriate to test whether it is a linear relationship

H0-there is no relationship between output and dial settings(b=0) Ha- there is a relationship between dial output and length

To increase business the owner of the restaurant is running a promotion in which customer support bill can be randomly selected to receive a discount. Consider the confidence interval .15+ -.06Does the confidence interval provide convincing statistical evidence of the program is not working?

No because 20% is within the confidence interval of 9% to 21%

Nine sales representative six men and three women at a small company wanted to attend a national convention and alternate to calculating the exact probability is he conduct a simulation to estimate the probability. Does the proposed process currently simulate the randomly selection of three women from a group of nine

No because after one Woman is selected she is taking out of the drawing which then changes the odds from 3/9 to 2/8

To increase business the owner of the restaurant is running a promotion in which customer support bill can be randomly selected to receive a discount. Consider the confidence interval .15+ -.06 does the confidence interval provide convincing statistical evidence that the program generates a discount with above ability of .2?

No because any value within the 9% to 21% interval is a possible value of the probability of a discount

The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution. The manager surveyed a random sample of 765 visitors and recorded their age. A summary of the responses is shown in the frequency table, where X represents the age of the visitor. Does the histogram provide convincing evidence that the surveyed ages comes from a normal distribution?

No because it's by model which means it has no true center mean or average

Psychologist interested in the relationship between meditation and health conducted a study with a random sample 28 men who live in a large retirement community. If the study were to provide significant evidence against H0 in favor of HA would it be reasonable for the psychologist to conclude daily meditation causes a reduction in blood pressure?

No because this is an observational study not an experiment and correlation does not mean causation

The following stem part shows the swimming speeds for a random sample of 31 emperor penguins can the estimate of the main swimming speed be generalized to all types of penguins?

No because you only used one type of penguin in the sample

Add a financial institution a fraud detection system identify suspicious transactions and send them to a specialist for review. The specialist reviews the transaction customer profile and pass history. If there's significant evidence of fraud the transaction is blocked. Based on past history specials blocks 40% of the suspicious transactions. Suppose the specialist will review 136 suspicious transactions in one day what is the expected number of block transactions?

Np = 136x.4=54.4 About 54 blocked transactions

Add a financial institution a fraud detection system identify suspicious transactions and send them to a specialist for review. The specialist reviews the transaction customer profile and pass history. If there's significant evidence of fraud the transaction is blocked. Based on past history specials blocks 40% of the suspicious transactions. Consider a batch of 10 randomly selected suspicious transactions suppose the specialist wants to know the probability that two of the transactions will be

Number of blocked in 10 suspicious transactions

A bank categorizes its customers into one of their groups based on their baking habits. We were in a sample of 30 customers from each group are selected in the number of times they visited the bank during the past year was recorded. The family error rate is the probability of obtaining a significant result for at least one of the T test conducted, under the assumption that the 80 is true. Use the tree diagram to determine the family air rate for 2T test each conducted at a level of a equals .05

P(N and N)=.95^2=.9025 1-.9025=.0975

A bank categorizes its customers into one of their groups based on their baking habits. We were in a sample of 30 customers from each group are selected in the number of times they visited the bank during the past year was recorded. AT test has to possible outcomes reject or don't reject H0. If H0 is true, if it's rejected, the result is 30 sickly significant which would be a type one error. Vice versa would be a type one error. If p(s)=.05 what is the value of p(N)?

P(N)=1-p(s)=1-.05=.95

A bank categorizes its customers into one of their groups based on their baking habits. We were in a sample of 30 customers from each group are selected in the number of times they visited the bank during the past year was recorded. Determine the family air rate for the number of t-test identified in part eight, each conducted at a level of a equals .05 show your work

P(n and n and n)=.95^3=.857375 Therefore the family air rate for the 3T test is 1-.0857 which equals about 14%

Add a financial institution a fraud detection system identify suspicious transactions and send them to a specialist for review. The specialist reviews the transaction customer profile and pass history. If there's significant evidence of fraud the transaction is blocked. Based on past history specials blocks 40% of the suspicious transactions. Consider a batch of 10 randomly selected suspicious transactions suppose the specialist wants to know the probability that two of the transactions will be

P(y=2)=(10/2)(.4)^2(.6)^8=.1209 Binompdf(10,.4,2)= .1209

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure is reported to be 122 mmHg w a standard deviation of 15. The actual meal for pressure Barclays at the corporation is 125 and the Sd is 15. What statistical term is used for the probability found in part c?

Power of the test, probability that the test will correctly reject H0

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure is reported to be 122 mmHg w a standard deviation of 15. The actual meal for pressure Barclays at the corporation is 125 and the Sd is 15. If the sample size is 100 would the prob of rejecting H0 be greater then less then or equal to the previous calc

Probability will increase because the larger sample size will have a smaller SD

The following table shows the annual income in dollars and amount spent on vacation, in dollars, for a sample of eight families. Create a scatterplot of the data in the table

Put into calc

An environmental group conducted a study to determine whether crows in a certain region where ingesting food containing unhealthy levels of lead. The main love level of the 20 through crows in a sample was 4.9 and the standard deviation was 1.12. Construct an interpreter 95% confidence interval

Randomization 10% condition nearly normal Conditions met proceed with one sample T interval Y+-tdf*(s/srn) Tint(4.9,1.112,23,.95)=(4.42,5.38) I am 95% confident the true meaning of lead levels and crows is between about 4.4 and 5.4

Add a financial institution a fraud detection system identify suspicious transactions and send them to a specialist for review. The specialist reviews the transaction customer profile and pass history. If there's significant evidence of fraud the transaction is blocked. Based on past history specials blocks 40% of the suspicious transactions. Determine the random variable of interest in state how the variable is distributed

Reviewed suspicious transactions, number of reviews until the first block

Psychologist interested in the relationship between meditation and health conducted a study with a random sample 28 men who live in a large retirement community. Let PE represent the proportion of men with high blood pressure among those in a random sample of 11 who meditate daily and PC represent the proportion of bed with high blood pressure among those in around sample of 17 why is it not reasonable to use a normal approximation for the sampling distribution

Sample size is too small success failure is less than or equal to 10

A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type in the northern region is approximately normal with a mean 10 ounces in standard deviation 3 ounces. The distribution of weight for birds of this type in the southern region is approximately normal with mean 16 ounces in standard deviation 2.5 ounces. Is it more likely that a bird of this type with a Weight greater than 13 ounces lives in the northern region or the southern region?

Southern region, because the meaning of the bird is greater than 13 but over one standard deviation

The following table shows the annual income in dollars and amount spent on vacation, in dollars, for a sample of eight families. Describe the association shown in the scatterplot created in part a

Strong positive linear association between The annual income and the amount spent on vacation

An environmental Science teacher at a high school with a large population of students want to test me the proportion of students at the school who regularly recycle plastic bottles. Based on the responses, I 95% comfortable for the proportion of all students at the school who respond yes was calculated as (.584,.816) given the method used by the environmental teacher to collect the responses, explain how bias may have been introduced and describe how the bias might affect the point estimate of t

Students are reporting directly to the teacher so they might say yes even when they don't actually recycle it might result in appoint as me greater than the actual proportion of students who recycle

Fingerprint analysis in blood grouping are features that do not change the lifetime of an individual fingerprint features a pure early in the development of a fetus, and blood types are determined by genetics is a test for an association in this case a chai square test of independence or a test of homogeneity?

Test of independence, there were two variables measured from a single random sample selected from one population

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure is reported to be 122 mmHg w a standard deviation of 15. Describe the type 2 error in the context of the hypothesis

The main pressure of employees is greater than 122 but the null hypothesis it's not rejected

To increase business the owner of the restaurant is running a promotion in which customer support bill can be randomly selected to receive a discount.A second random sample of the bills was taking those four times the size of the original sample in the second sample 50% of the bills receive the discount. Based on the margin of error and part B that was obtained from the second sample what do you conclude about whether the program is working as intended?

The program is not working as intended because 20% is be on the margin of error predicted and part B

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, and targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed. Suppose the investigation produces a result that is statistically significant using both methods. What can be concluded if method one is use that cannot be included if method twos used?

We can conclude exercising with a partner creates more intensity because each volunteer was randomly assigned to treatment one or treatment 2. We can see cause-and-effect relationship because method one is an experiment while method two is a survey

Independent random samples of 500 households were taken from a large metropolis area in the United States for the years 1950 and 2000 compare the distributions of household sizes in the metropolitan area

Which one is larger bigger proportion bigger standard deviation bigger range skewed /symmetric by model mean range

Fingerprint analysis in blood grouping are features that do not change the lifetime of an individual fingerprint features a pure early in the development of a fetus, and blood types are determined by genetics The resulting chai square test statistic from the appropriate test is approximately 18.93. What are the degrees of freedom and P value of the test?

X^2test(a,b,)= x=18.93, p=.004 df=6

Add a plant that manufactures bars of steel a machine is used to cut the bars to Pacific lights the machine has a dial that sets the length of the bars to be cut however the dial is currently out of alignment and the plant manager is collecting data to assess the situation Based on your graph does a linear model seem appropriate

Yes because it is it is a strong when your positive relationship between dial setting and output length

The ACL is one of the ligaments that help stabilize the knee. Surgery is often recommended if the acl is completely torn, and recovery time from the surgery is long. Two tests effectiveness of the new procedure a study was conducted in which 210 patients were randomly assigned to receive a standard or new procedure. What a statistically significant results allow the medical center to conclude that the new procedure causes a reduction in recovery time?

Yes because it's an experimental study. We have treatments and patients that were randomly assign to two procedures therefore the medical center conclude the new procedure causes a reduction in recovery time compared to the standard procedure

Nine sales representative six men and three women at a small company wanted to attend a national convention based on the answering part is a reason to doubt the managers claims that three people were selected at random

Yes because odds of picking all three women are very low, less than 5%

A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type in the northern region is approximately normal with a mean 10 ounces in standard deviation 3 ounces. The distribution of weight for birds of this type in the southern region is approximately normal with mean 16 ounces in standard deviation 2.5 ounces. Calculate the Z scores for a weight of 13 ounces for a bird living in the northern region and away of 13 ounces for a bird living in the south

Z=(13-10)/3 = 1—> (zscore) .8413= 84% Z=(13-16)/2.5= -1.2->.1151= 11.5%

A random sample of 65 high school seniors were selected from all high school seniors at the certain high school following scatterplot shows the height in centimeters and foot length for each senior. Assume that the distribution of residuals is approximately normal with mean 0 cm in standard deviation 5.9 cm what percent of the residuals are greater than 8 cm?

Z=x-mue/sd =8-0/5.9=1.36->1-.9131=.0869 About 8.7%