QM 520 - Final
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains more than two defective parts? Select one: a. 0.0038 b. 0.0922 c. 0.9039 d. 0.0001
0.0001
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts? Select one: a. 0.0004 b. 0.0038 c. 0.10 d. 0.02
0.0038
Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that there are no females in the sample is Select one: a. 0.0778 b. 0.7780 c. 0.5000 d. 0.3456
0.0778
A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 student is taken. What is the probability that these 64 students will spend a combined total between $703.59 and $728.45? Select one: A. 0.082 B. 0.0794 C. 0.4206 D. 0.5794
0.0794
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. The University took a sample of 300 students to see whether the proportions have changed. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. The hypothesis is to be tested at the 5% level of significance. What is the p-value equals to? Select one: a. 0.333 b. 0.645 c. 0.117 d. 0.0000
0.117
For a standard normal distribution, the probability of z<0 is Select one: A. Zero B. 1.0 C. 0.25 D. 0.5
0.5
The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the sample mean will be larger than 73.46 years?
0.9389
Power is equal to __________. Select one: A. 1 - alpha , if the null hypothesis is true B. alpha, if the null hypothesis is false C. 1 - beta, if the null hypothesis is false D. beta, if the null hypothesis is true
1 - beta, if the null hypothesis is false
A sample of 100 cans of coffee showed an average weight of 13 ounces with a standard deviation of 0.8 ounces. Construct a 95% confidence interval for the mean of the population. Select one: A. 12.32 to 13.68 B. 12.84 to 13.16 C. 12.04 to 13.16 D. 11.99 to 12.99
12.84 to 13.16
What is the degree of freedom for a contingency table with 12 rows and 12 columns? Select one: a. 144 b. 12 c. 120 d. 121
121
In performing a hypothesis test where the null hypothesis is that the population mean is 23 against the alternative hypothesis that the population mean is not equal to 23, a random sample of 17 items is selected. The sample mean is 24.6 and the sample standard deviation is 3.3. It can be assumed that the population is normally distributed. The degrees of freedom associated with this are __________. Select one: A. 17 B. 16 C. 15 D. 2
16
The average starting salary for graduates at a university is$25,000 with a standard deviation of $2000. If a histogram of the data shows a mound shape, the empirical rule says that approximately 95.5% of the graduate would have a starting salary between Select one: A. 23,000 - 27,000 B. 19,000 - 31,000 C. 21,000 - 29,000 D. 24,000 - 26,000
21,000 - 29,000
In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8, a random sample of 25 items is selected. The sample mean is 4.1 and the sample standard deviation is 1.4. It can be assumed that the population is normally distributed. The degrees of freedom associated with this are __________. Select one: A. 25 B. 24 C. 26 D. 2
24
A simple random sample of 25 items resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 95% confidence interval for the population mean. Select one: A. 24.904 to 31.096 B. 25.905 to 32.096 C. 26.324 to 29.432 D. None of the above answers is correct
24.904 to 31.096
A variable contains seven categories. It is expected that data are uniformly distributed across these seven categories. To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, 18, 33 and 24. What is the expected frequency for each category equal to using α= .01? Select one: a. 7 b. 5 c. 26 d. Varies for each category
26
A commuter travels many miles to work each morning. She has timed this trip 5 times during the last month. The time (in minutes) required to make this trip was 44, 39, 41, 35, and 41. What is the standard deviation for this sample data? Select one: a. 3.32 b. 2.97 c. 1.73 d. 11
3.32
Individuals in a sample of 150 people when asked whether they supported capital punishment resulted in the following information. We are interested in determining whether the opinion of the individuals is significantly different Do you support Capital Punishment? Frequency yes 40 no 60 no opinion 50 What is the calculated test statistic for this scenario? Select one: a. 150 b. 200 c. 50 d. 4
4
A department store chain advertised on television, radio and in newspapers for one month. They spend the same amount of money on each of these three media. A random sample of 900 customers who visited the department stores during that month because of these promotional advertisements were asked which advertising medium was most effective in getting them to visit the stores. The following table contains their responses. Advertising Medium Television Radio Newspaper Most effective medium 330 295 275 What is the test statistic value equals to, using significance level of 5%? Select one: a. 5.1667 b. 7.815 c. 7.378 d. 9.348
5.1667
Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is Select one: a. 0.50 b. 0.30 c. 100 d. 50
50
The following data give the number of computer keyboards assembled at the Twentieth Century Electronics Company. The sample mean and median values, respectively, are 42, 43, 43, 44, 45, 48, 51, 52, 53, 56, 56, 56, 66, 67, 75, 87 Select one: a. 87, 42 b. 55.25, 52.5 c. 52.5, 55.25 d. 42, 87
55.25, 52.5
A marketing firm is trying to determine if the type of car purchased in Oakland County is independent of the age of the driver. The firm takes a random sample of 309 car purchases at two different new car dealerships in Oakland County, resulting in the following contingency table of observed values. Compact Mid-size Luxury 21 < age < 34 26 95 18 35 < age < 55 41 40 20 age > 55 24 13 32 What is the value of the test statistic if the significance level is 5%? Select one: a. 9.4877 b. 59.405 c. 59.125 d. 40.94
59.405
16. A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99% confidence interval for the true average examination score is Select one: A. 49.677 to 102.723 B. 73.99 to 78.41 C. 67.359 to 85.041 D. 67.437 to 84.963 E. None of the above answers is correct
67.359 to 85.041
A random sample of 16 statistics examinations was taken. The average score, in the sample, was 76.2 with a variance of 144. The 99% confidence interval for the true average examination score is Select one: A. 49.677 to 102.723 B. 73.99 to 78.41 C. 67.359 to 85.041 D. 67.437 to 84.963
67.359 to 85.041
To determine whether productivity is affected by level of education, the Whozimacallit Company used a contingency table with three levels of education and four levels of productivity. The degrees of freedom for the Chi-Square test would be: Select one: a. 6df b. 12df c. 8df d. 9df
6df
Which of the following is NOT a characteristic of the normal probability distribution? Select one: A. Symmetry. B. The total area under curve is always equal to 1. C. 99.7% of the time the random variable assumes a value within plus or minus 3 standard deviation of its mean. D. 89% of the time the random variable assumes a value within plus or minus 2 standard deviation of its mean.
89% of the time the random variable assumes a value within plus or minus 2 standard deviation of its mean.
The table below gives beverage preferences for random samples of teens and adults. Observed Frequencies Teens Adults Coffee 50 200 Tea 100 100 Soft Drink 200 150 Other 50 100 Test for independence between age (teen vs. adult) and drink preferences. What is the calculated value for this test statistic? Select one: a. 90.818 b. 15.507 c. 92.42 d. 109.64
92.42
26. Which of the following results in the widest confidence interval range? Select one: A. A 95% confidence interval using Standard Normal Distribution B. A 95% confidence interval using t-distribution with n=5 C. A 95% confidence interval using t-distribution with n=10 D. A 95% confidence interval using t-distribution with n=15
A 95% confidence interval using t-distribution with n=5
What should a researcher do if the results of tabulating a survey show that some categories have low frequencies (less than 5)? Select one: a. Try to collect more data b. Combine some of the categories with other categories to increase the frequencies. c. A and B are possible. d. None of the above, there is nothing you can do to fix this situation.
A and B are possible.
The F distribution is: Select one: a. A right tailed distribution only. b. Is a normal bell-shaped curve like the t distribution. c. Negatively skewed. d. None of the above.
A right tailed distribution only.
Mean square variance estimates are: Select one: a. Sum of squares divided by degrees of freedom. b. An average variance estimate. c. An average of the sum of squared variation. d. All of the above.
All of the above
When df increases, i.e. df=10 the Chi-Square distribution: Select one: a. Becomes more platykurtic. b. Approaches a normal distribution. c. Becomes more leptokurtic d. None of the above, df do not affect the Chi-Square distribution.
Approaches a normal distribution.
In order not to violate the requirements necessary to use Chi-square distribution, each expected frequency in a goodness of fit test must be: Select one: a. At least 5 b. At least 10 c. No more than 5 d. Cannot exceed the observed frequency
At least 5
A two-tailed test is performed at 95% confidence (Significance level is 5%). The p-value is determined to be 0.068. The null hypothesis Select one: a. Must be rejected b. Cannot be rejected c. Could be rejected, depending on the sample size d. Has been designed incorrectly
Cannot be rejected
The "length of time until a pain reliever begins to work" is a: Select one: a. Nominal variable b. Continuous variable c. Discrete variable d. Ordinal variable
Continuous variable
19. A random sample of 25 observations was taken. The average in the sample was 84.6 with a variance of 400. What should be expected to happen to the confidence interval if the sample size was increased? Select one: A. Decrease since the sampling error decreased B. Remain unchanged C. Increase since the sampling error decreased D. There is no enough information in the problem statement to determine what happens to the confidence interval E. None of the above answers is correct
Decrease since the sampling error decreased
Mike claims that the average grade on the final examination in statistics is at least 85. Tony plans to take a sample to test her claim. The correct set of hypotheses is: Select one: a. H0: mu < 85 Ha: mu greater then or equal to 85 b. H0: mu greater then or equal to 85 Ha: mu > 85 c. H0: mu greater then or equal to 85 Ha: mu < 85 d. H0: mu > 85 Ha: mu less then or greater to 85
H0: mu greater then or equal to 85 Ha: mu < 85
What is the graphical descriptive representation of the counts of observations grouped within pre-specified classes called? Select one: a. Empirical distribution b. Histogram c. Frequency distribution d. All of the above
Histogram
The P-value Select one: a. Is the same as the Z statistics b. Measures the number of standard deviations from the mean c. Is a distance d. Is a probability
Is a probability
The F-statistic, as used in the analysis of variance: Select one: a. Has as its numerator a value which is an unbiased estimate of the population variance. b. Has as its denominator a value which is an unbiased estimate of the population variance. c. Compares an estimate of the variance of the sample means with an estimate of the variance of the population. d. Is the ratio of between group variance to within group variance.
Is the ratio of between group variance to within group variance.
If F = 1 we can conclude that: Select one: a. MSC = MSE. b. MSC < MSE. c. We have a significant difference between groups. d. MSC > MSE
MSC = MSE.
If F is significantly >1, what can we conclude? Select one: a. MSC = MSE b. MSC < MSE c. We accept HO d. MSC > MSE
MSC > MSE
The F statistic is comprised of: Select one: a. SSC/SSE. b. SSC/df (C-1) c. MSC/MSE. d. The grand mean/NT - 1
MSC/MSE.
Excluding multiple t-tests, all other multiple comparison procedures, such as post-hoc comparisons: Select one: a. Inflate α b. Inflate β c. Divide α in half. d. Maintain the probability of a Type I error at the desired level originally set.
Maintain the probability of a Type I error at the desired level originally set.
X bar is an estimate of Select one: A. Mu B. n C. the sample mean D. the median
Mu
"The brand of refrigerator in a home" is a: Select one: a. Nominal variable b. Continuous variable c. Discrete variable d. Ordinal variable
Nominal variable
Which of the following are the type of values that Χ2 can take on? Select one: a. Positive values b. Negative values c. Either positive or negative values d. Values between zero to 100 percent since Χ2 is a type of probability distribution
Positive values
A numerical value used as a summary measure for a sample, such as sample mean, is known as Select one: a. Population Parameter b. Sample parameter c. Population mean d. Sample statistics
Sample statistics
The manager of a grocery store has taken a random sample of 40 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a variance of 0.55 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. The Excel output is shown below. With the alpha of 5%, it can be concluded that the mean of the population is: Select one: a. Significantly greater than 3. b. Not significantly greater than 3. c. Significantly less or equal than 3. d. Significantly greater or equal to 3.1
Significantly less or equal than 3.
David Desreumaux, VP of Human Resources of American First Banks (AFB), is reviewing the employee training programs of AFB banks. His staff compiled the following table of regional statistics on teller training hours. What can David conclude from these statistics? Mean: SE Region - 20 SW Region - 28 median: SE Region - 20 SW Region 20 Mode: SE Region - 20 SW Region 21 Std Dev: SE Region - 5 SW Region 7 Select one: a. The Southwest distribution has the least dispersion b. The Southeast distribution is skewed to the left c. The Southwest distribution is skewed to the right d. The Southeast distribution has the greatest dispersion
The Southwest distribution is skewed to the right
The first step in testing a hypothesis is to establish __________. Select one: A. an not rejectance hypothesis and a rejection hypothesis B. a power function C. a null hypothesis and alternative hypothesis D. an indirect hypothesis
a null hypothesis and alternative hypothesis
Mary Flindt, a Marketing Director with Epsilon Airlines, is assessing the relative importance of the "total flight" experience. An item on a survey questionnaire distributed to 100 of Epsilon's customers asked them to rate the importance of "on-time arrival" on a scale of 1 to 10 (with 1 meaning "not important" and 10 meaning "highly important"). Her staff assembled the following statistics from the responses. Mean: 9.1, Std Dev: 2.5 If Mary concludes that the average rate of "on-time arrival" for all customers is 9.1, she is using __________. Select one: A. an interval estimate B. a statistical parameter C. a range estimate D. a point estimate
a point estimate
When a true null hypothesis is rejected in error, the probability of committing Type I error is __________. Select one: A. alpha B. beta C. 0 D. 1 - beta
alpha
When a range of values is used to estimate a population parameter, it is called __________. Select one: A. an interval estimate B. a point estimate C. a statistical parameter D. a range estimate
an interval estimate
A continuous random variable may assume Select one: a. any value in an interval or collection of intervals b. only integer values in an interval or collection of intervals c. only fractional values in an interval or collection of intervals d. only the positive integer values in an interval
any value in an interval or collection of intervals
Consider the following null and alternative hypotheses. H0: mu less then or equal to 7 Ha: mu > 7 These hypotheses __________. Select one: A. are not mutually exclusive B. are not collectively exhaustive C. do not reference a population parameter D. are established correctly
are established correctly
A null hypothesis was rejected at the 0.10 level of significance. It the level of significance were changed to 0.05 and the same sample results were obtained, what decision should be made? Select one: A. reject the null hypothesis B. do not reject the null hypothesis C. cannot be determined without further information D. all of the above
cannot be determined without further information
Sue Taylor, Director of Global Industrial Sales, is concerned by a deteriorating sales trend. Specifically, the number of customers is stable at 1,500, but they are purchasing less each year. She orders her staff to search for causes of the downward trend by surveying all 1,500 industrial customers Sue is ordering a __________. Select one: A. statistic from the industrial customers B. census of the industrial customers C. sample of the industrial customers D. sorting of the industrial customers
census of the industrial customers
6. A theorem that allows us to use the normal distribution to approximate the sampling distribution of sample means whenever the sample size is large is known as the Select one: A. approximation theorem B. normal probability theorem C. central limit theorem D. central normality theorem E. None of the above answers is correct
central limit theorem
When a false null hypothesis is rejected, the researcher has made a __________. Select one: A. Type II error B. Type I error C. correct decision D. powerful error
correct decision
In order to find values in the t distribution table, you must convert the sample size or sizes to __________. Select one: A. population sizes B. degrees of freedom C. Z values D. student values
degrees of freedom
An experiment consists of making 80 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is a Select one: a. discrete random variable b. continuous random variable c. complex random variable d. simplex random variable
discrete random variable
Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable? Select one: a. the experiment has at least two possible outcomes. b. exactly two outcomes are possible on each trial. c. the trials are dependent on each other d. the probabilities of the outcomes changes from on trial
exactly two outcomes are possible on each trial.
The t-distribution is similar to a normal distribution. However the t-distribution is __________. Select one: A. not symmetric B. bimodal C. flatter D. discrete
flatter
Consider the following null and alternative hypotheses. H0: mu greater then or equal to 0 Ha: mu < 0 These hypotheses Select one: A. indicate a one-tailed test with a rejection area in the right tail B. indicate a one-tailed test with a rejection area in the left tail C. indicate a two-tailed test D. are established incorrectly
indicate a one-tailed test with a rejection area in the left tail
A student makes an 82 on the first test in a statistics course. From this, she assumes that her average at the end of the semester (after other tests) will be about 82. This is an example of __________. Select one: A. descriptive statistics B. inferential statistics C. nonparametric statistics D. wishful thinking
inferential statistics
The standard deviation of a standard normal distribution Select one: A. is always equal to zero B. is always equal to one C. can be any positive value D. can be any value
is always equal to one
What happens to the rejection region if the level of significance is changed from 0.05 to 0.10? Select one: A. it gets larger B. it gets smaller C. it does not change D. all of the above
it gets larger
What happens to the rejection region if the level of significance is changed from 0.10 to 0.05? Select one: A. it gets larger B. it gets smaller C. it does not change D. all of the above
it gets smaller
Which of the following symbols is used to represent a population parameter? Select one: A. ~ B. # C.mu
mu
Which of the following forms could a directional hypothesis take? Select one: a. mu1 - mu2 = 0 b. mu1 - mu 2 not equal to 0 c. mu1 not equal to mu2 d. mu1 > mu2
mu1 > mu2
The Ordinal scale of measurement has the properties of the Select one: a. ratio scale of measurement b. interval scale of measurement c. nominal scale of measurement d. ration and interval scales of measurement
nominal scale of measurement
In testing hypotheses, the researcher initially assumes that the __________. Select one: A. alternative hypothesis is true. B. null hypothesis is true C. errors cannot be made D. the population parameter of interest is known
null hypothesis is true
The empirical rule applies to which of the following? Select one: a. only normal, symmetrical distributions b. any shaped distributions c. skewed distribution d. none of the above
only normal, symmetrical distributions
The scale of measurement that is used to rank order the observation for a variable is called the Select one: a. ratio scale b. ordinal scale c. nominal scale d. interval scale
ordinal scale
The time required to produce each tire on an assembly line is best described as which type of data: Select one: A. nominal B. ordinal C. interval D. ratio
ratio
Abel Alonzo, Director of Human Resources, is exploring the causes of employee absenteeism at Batesville Bottling during the last operating year (January 1, 1999 through December 31, 1999). Personnel records for 50 of the plant's 250 employees are selected for analysis. For this study, the group of 50 employees is a __________. Select one: A. population B. sample C. parameter D. statistic
sample
Ben Beasly, Engineering Group Manager, is exploring the causes of employee absenteeism at Delta Engineering Inc. during the last operating year (January 1, 1999 through December 31, 1999). Personnel records for 50 of the plant's 250 employees are selected for analysis. For this study, the group of 50 employees is a __________. Select one: A. population B. sample C. parameter D. statistic
sample
Manuel Banales, Marketing Director of Plano Power Plants, Inc.'s Electrical Division, is leading a study to identify and assess the relative importance of product features. Manuel directs his staff to design a survey questionnaire for distribution to 100 of Plano's 954 customers. For this study, the set of 100 customers is a __________. Select one: A. statistic B. population C. parameter D. sample
sample
Upon discovering an improperly adjusted drill press, Jack Joyner, Director of Quality Control, ordered an inspection of "every fifth casting drilled on the evening shift." Jack is ordering a __________. Select one: A. sample of the castings B. sorting of the castings C. census of the castings D. parameter from the castings
sample of the castings
Manuel Banales, Marketing Director of Plano Power Plants, Inc.'s Electrical Division, is leading a study to identify and assess the relative importance of product features. Manuel directs his staff to design a survey questionnaire for distribution to 100 of Plano's 954 customers. Manuel is ordering a __________. Select one: A. statistic from the customers B. census of the customers C. sorting of the customers D. sample of the customers
sample of the customers
Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an inspection of "every tenth payroll voucher issued since January 1, 1999." Pinky is ordering a __________. Select one: A. census of the payroll records B. parameter from the payroll records C. sample of the payroll records D. sorting of the payroll records
sample of the payroll records
The probability of committing a Type I error is called __________. Select one: A. the level of significance B. beta C. the power of the test D. reliability
the level of significance
A company produces an item that is supposed to have a six inch hole punched in the center. A quality control inspector is concerned that the machine which punches the hole is "out-of-control" (hole is too large or too small). In an effort to test this, the inspector is going to gather a sample punched by the machine and measure the diameter of the hole. The alternative hypothesis used to statistical test to determine if the machine is out-of-control is Select one: A. the mean diameter is > 6 inches B. the mean diameter is < 6 inches C. the mean diameter is = 6 inches D. the mean diameter is not equal to 6 inches
the mean diameter is not equal to 6 inches
3. Startified random sampling is a method of selecting a sample in which Select one: A. the sample is first divided into strata, and then random samples are taken from each stratum B. various strata are selected from the sample C. the population is first divided into strata, and then random samples are drawn from each stratum D. None of the above answers is correct
the population is first divided into strata, and then random samples are drawn from each stratum
Stratified random sampling is a method of selecting a sample in which Select one: A. the sample is first divided into strata, and then random samples are taken from each stratum B. various strata are selected from the sample C. the population is first divided into strata, and then random samples are drawn from each stratum D. None of these alternatives is correct.
the population is first divided into strata, and then random samples are drawn from each stratum
The probability distribution of all possible values of the sample mean is Select one: A. the probability density function of X bar B. the sampling distribution of X bar C. the grand mean, since it considers all possible values of the sample mean D. one, since it considers all possible values of the sample mean
the sampling distribution of X Bar
27. The area under the t-distribution is equal to one. Select one: A. true B. false
true
Which type of test should always be conducted for a goodness of fit test and test of independence? Select one: a. lower-tail test b. upper-tail test c. two-tail test d. None of the above is the correct answer
upper-tail test
A statement of the null hypothesis for ANOVA would be: Select one: a. µ1 ≤ µ2 ≤ µ3 ≤ ...µK. b. µ1 ≥ µ2 ≥ µ3 ≥ ...µK. c. µ1 = µ2 = µ3 = ...µK. d. You cannot state the null hypothesis in any of the above forms.
µ1 = µ2 = µ3 = ...µK.
Which of the following probability distribution should be used whenever conducting test of hypothesis comparing more than two population proportions? Select one: a. Z-distribution b. t-distribution c. Χ2 d. None of the above is the correct answer
Χ2
When a researcher fails to reject a null hypothesis when it should have been rejected, the probability of a Type II error is __________. Select one: A. B. C. 0 D. 1 -
β
To determine how well airline companies serve their customers, a study was conducted. The results produced the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a separate study of telephone companies' service, the following customer ratings using a sample of 400 adults were found: 24 excellent, 124 good, 172 fair and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? Using the significance level of 1%, the test statistic value was calculated to be 16.308, the critical test statistic was found to be 11.345, and the p-value was calculated to be 0.038. What conclusion you can draw from this analysis? Select one: a. Distribution of customer rating for telephone companies is not significantly different from the airline companies b. The distribution of customer rating for telephone companies is different from the airline companies c. The distribution of customer rating for telephone companies is independent of the airline companies d. The distribution of customer rating for telephone companies is dependent of the airline companies.
The distribution of customer rating for telephone companies is different from the airline companies
The alternate hypothesis for ANOVA would be represented as: Select one: a. µ1 > µ2 = µ3 > ...µK. b. µ1 ≠ µ2 ≠ µ3 ≠ ...µK. c. The means are not all equal. d. You cannot state the alternative hypothesis in any of the above forms.
The means are not all equal.
A P-value that is smaller than the alpha value leads to which of the following with respect to your decision about the null hypothesis? Select one: a. The null hypothesis should be rejected b. The null hypothesis is true c. The null hypothesis should be accepted (fail to reject the null hypothesis) d. The alternative hypothesis is false
The null hypothesis should be rejected
β is: Select one: a. The probability of type I error. b. The probability of type II error. c. A correct decision. d. Power.
The probability of type II error.
Multiple comparison tests are used: Select one: a. If no significant overall F value is obtained. b. To find significant within group variances. c. To determine which means are significantly different from which other means. d. When F < 1.
To determine which means are significantly different from which other means.
What type of error occurs if you fail to reject H0 when, in fact, it is not true? Select one: a. Type II b. Type I c. Either type I or Type II, depending on the level of significance d. Either type I or Type II, depending on whether the test is one tail or two tail
Type II
When a researcher fails to reject a false null hypothesis, a __________ error has been committed. Select one: A. Type II error B. Type I error C. sampling error D. powerful error
Type II error
For a two-tail test, the P-value is the probability of obtaining a value for test statistics that are: Select one: a. Likely as that provided by the sample. b. Unlikely as that provided by the sample. c. Likely as that provided by the population. d. Unlikely as that provided by the population
Unlikely as that provided by the sample.
The t test was developed by __________. Select one: A. Charles Student B. William Gosset C. deMoivre D. Gauss
William Gosset
