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Testing Hypotheses. In Exercises 13Ã¢â‚¬â€œ24, assume that a simple random sample has been

selected and test the given claim. Unless specified by your instructor, use either the P-value

method or the critical value method for testing hypotheses. Identify the null and alternative

hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the

final conclusion that addresses the original claim.

13. Course Evaluations Data Set 17 Ã¢â‚¬Å“Course EvaluationsÃ¢â‚¬Â in Appendix B includes data from

student evaluations of courses. The summary statistics are n = 93, 7 = 3.91, s

0.05 significance level to test the claim that the population of student course evaluations has a

0.53. Use a

mean equal to 4.00.

14. Speed Dating Data Set 18 Ã¢â‚¬Å“Speed DatingÃ¢â‚¬Â in Appendix B includes “attractiveÃ¢â‚¬Â ratings of

male dates made by the female dates. The summary statistics are n = 199, X = 6.19, s = 1.99.

Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00.

15. Garlic for Reducing Cholesterol In a test of the effectiveness of garlic for lowering

cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before

and after the treatment. The changes (before minus after) in their levels of LDL cholesterol

(in mg/dL) have a mean of 0.4 and a standard deviation of 21.0 (based on data from “Effect

of Raw Garlic vs Commercial Garlic Supplements on Plasma Lipid Concentrations in Adults

with Moderate Hypercholesterolemia,” by Gardner et al., Archives of Internal Medicine,

Vol. 167, No. 4). Use a 0.05 significance level to test the claim that with garlic treatment, the

mean change in LDL cholesterol is greater than 0. What do the results suggest about the effec-

tiveness of the garlic treatment?

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donths

thickness of the cans appear to affect

10. Statistics Test Scores Tests in the author’s statistics classes have scores with a standard

deviation equal to 14.1. One of his last classes had 27 test scores with a standard deviation of

9.3. Use a 0.01 significance level to test the claim that this class has less variation than other

past classes. Does a lower standard deviation suggest that this last class is doing better?

14. Bank Lines The Jefferson Valley Bank once had a separate customer waiting line at each

teller window, but it now has a single waiting line that feeds the teller windows as vacancies

occur. The standard deviation of customer waiting times with the old multiple-line configura-

tion was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the

single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line,

the waiting times have a standard deviation less than 1.8 min. What improvement occurred

when banks changed from multiple waiting lines to a single waiting line?

6.5 6.6 6.7 6.8 7.1 7.3 7.4 7.7 7.7 7.7

15. Fast Food nr

Testing Claims About Variation. In Exercises 5Ã¢â‚¬â€œ16, test the given claim. Identify the null

hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the con-

clusion about the null hypothesis, as well as the final conclusion that addresses the original

claim. Assume that a simple random sample is selected from a normally distributed population.

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