2 Hypothesis testing questions
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1. A recent article in a university newspaper claimed that the proportion of students who commute more than 15 miles to school is no more than 25%. Suppose we want to test the hypothesis. State hypothesis Ho and the alternative hypothesis H1 that we would use for this test.
2. The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the 0.10 level of significance, can we conclude that the assembly time using the new method is faster? Estimate the p-value. Show all five steps.
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