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Chapter 9: Q.101 (page 592)
You are testing against based on an SRS of observations from a Normal population. What values of the statistic are statistically significant at thelevel?
(a)
(b)
(c)
(d)
(c)
The values of the statistic are statistically significant at the level is (d)
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Attitudes In the study of older students鈥� attitudes from Exercise , the sample mean SSHA score was and the sample standard deviation was .
(a) Calculate the test statistic.
(b) Find the P-value using Table . Then obtain a more precise P-value from your calculator.
One-sided test Suppose you carry out a significance test of versus based on a sample of size and obtain .
(a) Find the P-value for this test using (i) Table and (ii) your calculator. What conclusion would you draw at the significance level? At the significance level?
(b) Redo part (a) using an alternative hypothesis of.
Radon detectors Radon is a colorless, odorless gas that is naturally released by rocks and soils and may concentrate in tightly closed houses. Because radon is slightly radioactive, there is some concern that it may be a health hazard. Radon detectors are sold to homeowners worried about this risk, but the detectors may be inaccurate. University researchers placed a random sample of detectors in a chamber where they were exposed to picocuries per liter of radon over days. A graph of the radon readings from the detectors shows no strong skewness or outliers. The Minitab output below shows the results of a one-sample t interval. Is there significant evidence at the level that the mean reading differs from the true value ? Give appropriate evidence to support your answer.
Does Friday the have an effect on people's behavior? Researchers collected data on the numbers of shoppers at a sample of different grocery stores on Friday the and Friday the in the same month. The dotplot and computer output below summarize the data on the difference in the number of shoppers at each store on these two days (subtracting in the order minus ).
Researchers would like to carry out a test of versus , where is the true mean difference in the number of grocery shoppers on these two days. Which of the following conditions for performing a paired test is not met?
1. Random
II. Normal
III. Independent
(a) I only
(b) II only
(c) III only
d) I and II only
(e) I, II, and III
Improving health A large company's medical director launches a health promotion campaign to encourage employees to exercise more and eat better foods. One measure of the effectiveness of such a program is a drop in blood pressure. The director chooses a random sample of employees and compares their blood pressures from physical cams given before the campaign and again a year later. The mean change (after - before) in systolic blood pressure for these employees is and the standard deviation is .
(a) Do these data provide convincing evidence of an average decrease in blood pressure among all of the company's employees during this year? Carry out a test at the significance level.
(b) Can we conclude that the health campaign caused a decrease in blood pressure? Why or why not?
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