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Confidence Interval and Diet-Fitness Business A shoe manufacturer claims that its shoes can help losing, on average, 4.5 pounds in two weeks. The company shows the report of body weight for 7 people before and after wearing its products for two weeks. No. 1 2 3 4 5 6 7 Weights 71.5 63.3 64.7 72 67 65.6 59.7 (Before) Weights 63 57.9 61.1 65.1 61.5 62.9 57.4 (After) (a) Suppose the population distribution of body weight is normally distributed. Construct a 95% confidence interval for the weight difference. (Hint: Let weight difference WD = Weights (Before) - Weights (After)) (Note: Round you answer to 4 decimal places.) (b) Is the company's claim true according your answer in (a)? Explain your answer. (c) What would be your conclusion if you use 90% confidence interval? Explain your