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The director of admissions at the University of Maryland, University College is concerned about the high cost of textbooks for the students each semester. A sample of 25 students enrolled in the university indicates that X (bar) = $315.4 and s = $43.20. a. Using the 0.10 level of significance, is there evidence that the population mean is above $300? b. b. What is your answer in (a) if s = $75 and the 0.05 level of significance is used? c. c. What is your answer in (a) if X (bar) = $305.11 and s = $43.20? d. d. Based on the information in part (a), what decision should the director make about the books used for the courses if the goal is to keep the cost below $300? 4. A large candy manufacturer is concerned that the mean weight of their bag of Gooey Sour Worms is not greater than 7.3 ounces. It can be assumed that the population standard deviation is .5 ounces based on past experience. A sample of 169 gummy worms is selected and the sample mean is 7.35 ounces. Using a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 7.3? Fully explain your answer.
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