(f) Chi-square tests are most appropriate for data that OA. are categorical. B. have small standard deviations. OC. are normally distributed. O D. can be averaged. O E. have rounding errors. (g) Type I error is: O A. Deciding the null hypothesis is true when it is false OB. Deciding the null hypothesis is false when it is true OC. Deciding the alternative hypothesis is true when it is false O D. Deciding the alternative hypothesis is true when it is true O E. All of the above OF. None of the above (h) A Type I error is committed if we make: O A. a correct decision when the null hypothesis is false OB. an incorrect decision when the null hypothesis is true OC. an incorrect decision when the null hypothesis is false O D. a correct decision when the null hypothesis is true (i) Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05? OA. 0.15 OB. 0.025 OC. 0.055 OD. 0.10

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(f) Chi-square tests are most appropriate for data that
O A. are categorical.
O B. have small standard deviations.
O C. are normally distributed.
O D. can be averaged.
O E. have rounding errors.
(g) Type I error is:
O A. Deciding the null hypothesis is true when it is false
O B. Deciding the null hypothesis is false when it is true
OC. Deciding the alternative hypothesis is true when it is false
O D. Deciding the alternative hypothesis is true when it is true
O E. All of the above
O F. None of the above
(h) A Type I error is committed if we make:
O A. a correct decision when the null hypothesis is false
O B. an incorrect decision when the null hypothesis is true
O C. an incorrect decision when the null hypothesis is false
D. a correct decision when the null hypothesis is true
(i) Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals
0.05?
O A. 0.15
OB. 0.025
OC. 0.055
O D. 0.10
(j) A consumer advocacy group claims that the mean mileage for the Ford - F150 is less than 32 miles per
gallon. Identify the type I error for the test.
O A. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles
per gallon.
OB. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32
miles per gallon.
OC. Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon.
O D. Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per
gallon.
Transcribed Image Text:(f) Chi-square tests are most appropriate for data that O A. are categorical. O B. have small standard deviations. O C. are normally distributed. O D. can be averaged. O E. have rounding errors. (g) Type I error is: O A. Deciding the null hypothesis is true when it is false O B. Deciding the null hypothesis is false when it is true OC. Deciding the alternative hypothesis is true when it is false O D. Deciding the alternative hypothesis is true when it is true O E. All of the above O F. None of the above (h) A Type I error is committed if we make: O A. a correct decision when the null hypothesis is false O B. an incorrect decision when the null hypothesis is true O C. an incorrect decision when the null hypothesis is false D. a correct decision when the null hypothesis is true (i) Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05? O A. 0.15 OB. 0.025 OC. 0.055 O D. 0.10 (j) A consumer advocacy group claims that the mean mileage for the Ford - F150 is less than 32 miles per gallon. Identify the type I error for the test. O A. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon. OB. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32 miles per gallon. OC. Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon. O D. Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon.
For each problem, select the best response.
(a) The scores of adults on an IQ test is approximately Normal with mean 100 and standard deviation 15.
Corinne scores 118 on such test. Her z-score is about
O A. 0.67
OB. 1.2
O C. 7.87
OD. 18
O E. None of the above.
(b) A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental
soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory
variable is the
O A. size of the soil bed.
O B. rate of water flow.
OC. amount of eroded soil.
O D. depth of the soil bed.
O E. None of the above.
(c) Smokers don't live as long (on the average) as nonsmokers, and heavy smokers don't live as long as light
smokers. You regress the age at death of a group of male smokers on the number of packs per day they
smoked. The slope of your regression line
A. will be greater than zero.
OB. will be less than zero.
OC. must be between 1 and 1.
D. can't tell without seeing the data.
(d) Type II error is:
O A. Deciding the alternative hypothesis is false when it is true
OB. Deciding the alternative hypothesis is true when it is true
OC. Deciding the null hypothesis is true when it is false
O D. Deciding the null hypothesis is false when it is true
O E. All of the above
O F. None of the above
(e) A 95% confidence interval for the mean μ of a population is computed from a random sample and found to
be 104. We may conclude
O A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4.
O B. 95% of the population is between 6 and 14.
O C. that there is a 95% probability that u is between 6 and 14.
O D. that if we took many, many additional samples and from each computed a 95% confidence interval for μ,
approximately 95% of these intervals would contain μ.
O E. All of the above.
Transcribed Image Text:For each problem, select the best response. (a) The scores of adults on an IQ test is approximately Normal with mean 100 and standard deviation 15. Corinne scores 118 on such test. Her z-score is about O A. 0.67 OB. 1.2 O C. 7.87 OD. 18 O E. None of the above. (b) A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the O A. size of the soil bed. O B. rate of water flow. OC. amount of eroded soil. O D. depth of the soil bed. O E. None of the above. (c) Smokers don't live as long (on the average) as nonsmokers, and heavy smokers don't live as long as light smokers. You regress the age at death of a group of male smokers on the number of packs per day they smoked. The slope of your regression line A. will be greater than zero. OB. will be less than zero. OC. must be between 1 and 1. D. can't tell without seeing the data. (d) Type II error is: O A. Deciding the alternative hypothesis is false when it is true OB. Deciding the alternative hypothesis is true when it is true OC. Deciding the null hypothesis is true when it is false O D. Deciding the null hypothesis is false when it is true O E. All of the above O F. None of the above (e) A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 104. We may conclude O A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. O B. 95% of the population is between 6 and 14. O C. that there is a 95% probability that u is between 6 and 14. O D. that if we took many, many additional samples and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. O E. All of the above.
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