Problem: Song Audiences and Sales. Find the best predicted number of albums sold for a song with 20 hundred million audience impressions (In the table below, audience impressions are in hundreds of millions and the number of albums sold are in hundreds of thousands.

Problem 10, Page 449. Human Body Temperature. Data Set 2 in Appendix B includes a sample of 106 body temperatures, with a mean of 98.20 ^o F. Assume that \(\sigma \) is known to be 0.62 ^o F. Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean body temperature is less than 98.6 ^o F.

1. What is the test statistics?
2. What is the critical value?
3. What is the p-value?
4. What is the conclusion about the null hypothesis?
5. What is the final conclusion in simple nontechnical terms?

Problem 6, Page 438: Survey of workers. In a survey of 703 randomly selected workers, 15.93% got their jobs through newspaper ads. Consider a hypothesis test that uses a 0.05 significance level to test the claim that less than 20% of the workers get their jobs through newspaper ads.

1. What is the test statistics?
2. What is the critical value?
3. What is the p-value?
4. What is the conclusion about the null hypothesis?
5. Based on the preceding results, can we conclude that 15.93% is significantly less than 20% for all such hypothesis tests? Why or what not?

Problem 16, Page 369: Amount lost by gamblers who took a bus to an Atlantic City casino: 99% confidence; n = 40, \(\bar{X}=688\) and \(\sigma \) is known to be 68.

Problem 20, Page 369: MOE = 1.5 mm, confidence level: 95%, \(\sigma =8.7\text{ mm}\)

Problem 24, Page 356. x = 2925, n = 4500, 90% confidence.

Problem 12, Page 616. Stock Market. Listed below in order by row are the annual high values of the Dow Jones Industrial Average for each year beginning with 1980. What is the best predicted value for year 2004? Given that the actual high value in 2004 was 10,855 how goof was the predicted value? What does the pattern suggest about the stock market for investment purposes?

1000 1024 1071 1287 1287 1553 1956 2722 2184 2791 3000 3169

3413 3794 3978 5216 6561 8259 9374 11568 11401 11350 10635 10454

Problem 12, Page 520. Is Friday 13 ^th unlucky? Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6 ^th of a month and Friday on the following 13 ^th of the same month. Use a 0.05 significance level to test the claim that when the 13 ^th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicles crashes are not affected.

Problem 14, Page 493: Do Bednets reduce malaria? In a randomized controlled trial in Kenya, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants who used the bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants who use bednets. Do bednets appear to be effective?

Problem 26: Sugar in Cereal. Different cereals are randomly selected, and the sugar contents (grams of sugar per gram of cereal) is obtained for each cereal, with the results shown below. Use a 0.05 significance level to test the claim that the mean for all cereals is less than 0.3 g.

Problem 16, Page 599: Crickets and Temperature: One classic application of correlation involves the association between the temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 minute and the corresponding temperature in degrees Fahrenheit.

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