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Problem # 13 ( pts). A randomly selected sample of 10 persons who borrowed books at a local public library showed that they borrowed 1, 5, 4, 4, 3, 6, 6, 2, 5, and 4 books. Test at the 0.05 level of significance whether this support the comment that the library is not lending, on average, 4.2 books per patron. 14 Problem # 14 ( pts) A large company with offices in major cities asked employees from time to time to move with their families and administrators claim that its employees move on the average of once every 8.50 year. However, trends for the past few years have led people to think a change might have occurred. To test this claim, a random sample was taken of 29 employees (from the entire company) and they were asked the number of years employed by the company and if they had never been asked to move. For this sample, the mean time was 7.91 year and a standard deviation of 3.62 year. Use a confidence level of 0.05 to test the claim. Problem # 15 (pts). Suppose that a nutritionist claims that 75% of the preschool children in a certain country have protein-deficient diets. A sample survey reveals that this is true for 206 preschool children in a sample of 300. Test the claim at the 0.10 level of significance. 15 Problem # 16 (. pts) The weights (pounds) of 8 female wolves captured in the Yukon-Charley Rivers National Reserve are 57 84 90 71 77 68 73 71 Find a 90% confidence interval for the population mean weight of all female wolves living on the Yukon-Charley Rivers National Reserve