MTH 222 Statistics: Final Exam Review
163 < μ < 187
An experiment compared cardiac demands of snow shoveling. The results obtained for n=11 were x̅=175 and s=18. Find a 95% confidence interval estimate of the population mean for the maximum heart rates for those shoveling snow, assuming a normal distribution: a) 139 < μ < 211 b) 157 < μ < 193 c) 166 < μ < 184 d) 163 < μ < 187 e) 164 < μ < 185
Outlier
An extremely high or extremely low data value is called a(n): a) Outlier b) Variant d) Midvalue d) Mode e) Extreme
95%
Approximately what percentage of normally distributed data values will fall within two standard deviation above or below the mean: a) 34% b) 48% c) 68% d) 95% e) 99.7%
0.0065
Claim: The mean bottom temperature of a fish breeding pond is greater than 20.0 degrees Celsius. The sample data is n=46, x̅ =20.8, s=2.1. The significance level is α=0.05. Find the p-value: a) 2.58 b) 0.0065 c) 20.8 d) 0.0049 e) 0.95
Nominal
College major is what kind of data measurement: a) Nominal b) Ordinal c) Interval d) Ratio
Ho: μ ≥ 100
Consider the claim: The mean cost of a college textbook is less than $100. The null hypothesis is: a) Ho: p'=0.100 b) Ho: p < 0.100 c) Ho: μ= 100 d) Ho: μ ≤ 100 e) Ho: μ ≥ 100
31/50, 0.62
Convert 62% to an equivalent fraction and decimal: a) 3/5, 0.62 b) 31/50, 0.62 c) 3/5, 6.2 d) 31/50, 6.2 e None of these
1
Except for rounding errors, relative frequencies should add up to what sum? a) 0 b) 1 c) 50 d) 100 e) 1000
(0.53, 0.63)
Express the confidence interval (a,b) for p'=0.58 and EBP=0.05 a) (0.58, 0.63) b) (0.53, 0.58) c) (0.58, 0.68) d) (0.53, 0.63) e) (0.58, 0.05)
0.0300
Find the margin of error EBP for the population proportion "p" given n=800, x=200, and 95% confidence: (Use your calculator (: ) a) 0.0300 b) 0.0600 c) 0.2200 d) 0.2500 e) 0.2800
μ=91.0
Find the mean for the binomial distribution with n=1597 and p=.057 a) μ=902.8 b) μ=920.0 c) μ=910.3 d) μ=917.6 e) μ=91.0
0.0
For a normal distribution of mean 100 and standard deviation 15, what is the probability of x=100? a) 0.0 b) 0.15 c) 0,50 d) 0.95 e) 1.00
The smaller the EBM (error bound of mean) will be
For a specific confidence interval, the larger the sample size n: a) The smaller the EBM (error bound of mean) will be b) The larger the EBM will be c) No change in the EBM
x̅
For estimating a population mean μ, use the point estimate: a) p̂ b) p' c) x̅ d) s e) s²
"The average rent of an apartment is less than or equal to $900 per month"
For the conjecture "The average rent of an apartment is more than $900 per month", the null hypothesis is: a) "The average rent of an apartment is less than or equal to $900 per month" b) The average rent of an apartment is greater than $900 per month" c) "We accept the hypothesis that the average rent of an apartment is more than $900 per month" d) "We reject the hypothesis that the average rent of an apartment is more than $900 per month"
Bar graphs
Histograms are very similar to what other graphical representation of numbers: a) Box Plots b) Pie Charts c) Cumulative Frequency Tables d) Bar Graphs e) Frequency Tables
2
How many outcomes are there in a binomial experiment: a) 0 b) 1/2 c) 1 d) 2 e) It varies
0.746
If "x" has a normal distribution and the mean is μ=22.0 and the standard deviation is σ=2.4, then find the probability that "x" is between 19.7 and 25.3: a) 0.411 b) 0.337 c) 0.746 d) 1.085 e) 0.863
0.278
If "z" is a standard normal variable, find P(z>0.59): a) 0.219 b) 0.278 c) 0.722 d) 0.222 e) 0.348
0.124
If 40% of all commuters ride to work in carpools, find the probability that if eight workers are selected, five will ride in carpools: a) 0.002 b) 0.010 c) 0.082 d) 0.124 e) 0.573
binompdf(10, .80, 4)
If 80% of the applicants are able to pass a driver's proficiency road test, find the probability that 4 out of 10 applicant pass: a) binompdf(10, .80, 4) b) bindompdf( 10, .80, .6) c) binompdf(4, .80, 6) d) binompdf (6,.80,4) e) binompdf(4,.80,10)
0.5
If n=24 and x=12, then p'= a) 2 b) 0.2 c) 288 d) 0.5 e) 12
Ho: μ1=μ2
If one hypothesizes that there is no difference between two sample means, the null hypothesis is: a) Ho: μ1=μ2 b) Ho: μ1≠ μ2 c) Ho: μ1> μ2 d) Ho: μ1<μ2
μ < 100
If one wishes to test the claim that the mean of the population is less than 100, the appropriate alternate hypothesis is Ha is: a) μ > 100 b) μ ≥ 100 c) μ < 100 d) μ ≤ 100 d) μ = 100
48
If p'=6% and n=800, then x= a) 48 b) 480 c) 4800 d) 752 e) 320
Continuous
If the random variable "x" is the braking time of a car, then "x" is" a) Discrete b) Continuous
z test
If σ is known and n < 30, then the hypothesis test for a mean is: a) z test b) t test c) 1- PropZTest d) 2-PropZTest e) 2-SampZTest
7
In a frequency distribution, which of the following appropriate number of classes? a) 2 b) 7 c) 25 d) 75 e) 100
r
In linear regression, the correlation coefficient is the strength of the relationship between two variables determined by the variable: a) r b) a c) x d) s e) y'
The percentages are identical
Populations P1 and P2 are normally distributed and have identical means. However, the standard deviation of P1 is twice the standard deviation of P2. What can be said about the percentage of observations falling within two standard deviation of the mean for each population: a) The percentage for P1 is twice the percentage for P2 b) The percentage for P1 is greater, but not twice as great, as the percentage for P2 c) The percentage for P2 is twice the percentage for P1 d) The percentage for P2 is greater, but not twice as great, as the percentage for P1 e) The percentages are identical
(256.18, 323.82)
Suppose that a standardized test was given to n=15 subjects and resulted in x̅=290 and s=44. Assuming the population has a normal distribution, find the confidence interval for the sample data with a confidence level of 99%: a) (260.74, 319.26) b) (-178.9, 266.9) c) (283.91, 296.09) d) (265.63, 314.37) e) (256.18, 323.82)
There is not sufficient evidence to support the original claim " more than 60% of students use the current recreation center"
Suppose that in a research study the original clam was "More than 60% of students use the current recreation center" and the null hypothesis was not rejected. The statement that best reports the final conclusion is: a) The study supports the original claim "more than 60% of students use the current recreation center: b) There is not sufficient evidence to support the original claim " more than 60% of students use the current recreation center"
525, 100
Suppose the average score on a national test is 500 with a standard deviation of 100. If each score is increased by 25, what are the new mean and standard deviation: a) 500, 100 b) 500, 125 c) 525, 100 d) 525, 105 e) 525, 125
98
Suppose you have 25 test scores, and when they're put in order from lowest to highest, they look like this: 43,54,56,61,62,66,68,69,69,70,71,72,77,78,79,85,87,88, 89,93,95,96,98,99,99 Find the 90th percentile: a) 22.5 b) 23 c) 90 d) 91 e) 98
Cluster
Ten schools are chosen randomly, and each teacher is surveyed. This sampling is: a) Random b) Systematic c) Cluster d) Stratified e) Convenience
Fisher
The F-distribution is short for: a) Freedom b) Fourier c) Fibonacci d) Fisher e) Next letter for the sequence of distributions
F-test
The analysis of variance uses which test: a) z-test b) t-test c) χ² test d) F test
ŷ=a+bx
The equation of the regression line used in statistics is: a) x=a+by b) x=ay+b c) ŷ=ax+bx d) ŷ=a+bx
4.38
The following ordered data set of size n=11 represents the minimum wage for 1990-2000: 3.69, 4.25, 4.25, 4.25, 4.25, 4.38, 4.88, 5.15, 5.15, 5.15, 5.55 Calculate the median: a) 4.25 b) 5.15 c) 10 d) 1.46 e) 4.38
4.25
The following ordered data set of size n=11 represents the minimum wage for 1990-2000: 3.69, 4.25, 4.25, 4.25, 4.25, 4.38, 4.88, 5.15, 5.15, 5.15, 5.55 Calculate the mode: a) 4.25 b) 5.15 c) 10 d) 1.46 e) 4.38
2.028
The mean of a set of data is 3.76 and its standard deviation is 4.97. Find the z score for a value of 13.84: ( z = x - μ / σ)
n*p
The mean μ for a binomial variable can be found by using this formula: a) n*p b) n*p*q c) √n*p*q
Median
The measure of center that is the middle value when the original data values are arranged in order of increasing (or decreasing) magnitude is: a) Mean b) Weighted Mean c) Median d) Mode e) Midrange
Equal
The null hypothesis in the ANOVA is that all the means are: a) Equal b) Unequal c) Variable d) Greater than zero
Discrete random variable
The number of courses a student is taking this semester is an example of a: a) Continuous random variable b) Binomial experiment c) Counting rule d) Discrete random variable
Linear Regression T Test
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations. What test should he use? a) 2 Sample F Test b) Linear Regression T Test c) ANOVA
5.5 days
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.5 days and a standard deviation for 2.4 days. What is the median recovery time? a) 2.4 days b) 5.5 days c) 3.1 days d) 7.9 days e) 2.8 days
s
The symbol for the sample standard deviation is: a) x̅ b) μ c) z d) σ e) s
1
The total area under a normal distribution is: a) 0.5 b) 1 c) 50 d) 100 e) infinte
Right-tailed test
To test the hypothesis Ho: μ ≤ 87, one would use a: a) Two-tailed test b) Left-tailed test c) Right-tailed test d) Cannot determine
1
What is the sum of the probabilities of all outcomes in discrete probability distribution: a) 0 b) 1/2 c) 1 d) 100 e) It cannot be determined
There is no mode
What is the value of the mode when all values in the data set are different: a) 0 b) 1 c) There is no mode d) The middle data element e) Cannot be determined
Larger
When a 99% confidence interval is calculated instead of a 95% confidence interval with "n" being the same size, the maximum error of estimate will be: a) Smaller b) Larger c) The same d) Cannot determine
ANOVA test
When three or more means are compared, one uses the: a) Goodness-of-fit test b) Contingency table test c) ANOVA test
The mean
Which is not part of the five-number summary: a) Q1 and Q3 b) Q2 c) The mean d) The median e) The smallest and the largest data values
ii, iii only
Which of the following are true statements: i) If the sample has standard deviation zero, the standard deviation of the population is also zero ii) If the population has standard deviation zero, the standard deviation of the sample is also zero iii) If the sample has standard deviation zero, the sample mean and the sample median are equal a) ii only b) i, ii only c) i, iii only d) ii, iii only e) i, ii, iii
8 puppies
Which of the following is discrete data: a) 58 kilometers b) 8 puppies c) 1.12 inches d) 120 pounds e) 16 miles
Last night's gathering was ten times better than last week's
Which of the following is not quantitative data? a) 100 donuts b) 300 cupcakes c) 512.2 pounds d) $20 dollar bill e) Last night's gathering was ten times better than last week's
(11.64, 12.36)
A study of 50 professors showed that the time they spent on average in creating test questions was 12.0 minutes per question. The standard deviation of the population is one. Which of the following is the 99% confidence interval for the average number of minutes it takes to create a test question: a) (11.34, 12.66) b) (11.75, 12.25) c) (11.64, 12.36) d) (9.42, 14.58)
0.139 < p < 0.201
A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98% confidence interval for the true proportion of women shoppers who shop on impulse: a) 0.148 < p < 0.192 b) 0.136 < p < 0.204 c) 0.144 < p < 0.196 d) 0.139 < p < 0.201
p'= 32%
800 randomly selected adults were surveyed, and 32% responded that they intend to spend more money this holiday season than last holiday season. What is the point estimate of the percentage of adults in the population who intend to spend more money this holiday season than last holiday season: a) p'=256 b) p'=800 c) p'= 32% d) 800 ± 32 e) 800 ± 256
Cannot Determine
A container holds 1000 thoroughly mixed items, and 100 items are selected for testing. Is this a simple random sample: a) Yes b) No C) Cannot Determine
X~N(5,3)
A continuous random variable "X" with a normal distribution of mean 5 and standard deviation 3 is: a) X~N(5,3) b) X~N(0,1) c) X~U(3,5) d) X~B(5,3) e) X~Exp(5)
i, ii, iii
A national consumer magazine reported the following correlations *The correlation between car weight and car reliability is r= -0.30 *The correlation between car weight and annual maintenance cost is r=0.20 Which of the following statements are true? i) Heavier cars tend to be less reliable ii) Heavier cars tend to cost more to maintain iii) Car weight is related more strongly to reliability than to maintenance cost a) i only b) ii only c) iii only d) i and ii only e) i, ii, iii
Double-blind experiment
A research study in which both the subjects and the researchers involved with the subjects are blinded is called a: a) Lurking variable b) Control group c) Placebo treatment d) Blinded experiment e) Double-blind experiment
Analysis of variance
ANOVA is short for: a) Analysis of variance b) A nova in space c) Analysis of new and ordinary variance d) Analysis of novel variance e) Answers of variables
