Statistics 13C Homework # 5 For discussion, Tues, 10/28/08 F. J. Samaniego From the text: Chap. 7: Problems (dealing with μ) # 25, 33, 63. All the following problems deal with confidence intervals for a population mean μ. Chap. 8: Problems # 23, 27, 28, 29, 31, 37. Chap. 10: Problems: # 1, 8, 11. Also, solve the following problems: 1. Let X be the number of servings that a randomly chosen meal card holder will have for dinner at Segundo Dining Commons. The manager at Segundo has noticed that X has the distribution X0 1 2 3 P(X) 1/6 1/6 1/6 1/2 Approximate the probability that 96 random meal card holders will consume at least 200 servings, that is, approximate P( X ≥ 2.0833). (Hint: Evaluate μ 2 for the distribution above and apply the Central Limit Theorem to X .) 2. The national mean score on the SAT test (including verbal, quantitative and written parts) seems to vary from year to year, so that last year’s mean score is not a reliable predictor of this year’s mean score. Anyway, these
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