Homework3_solution

# B the hypotheses are vs the test statistic is since

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(b) The hypotheses are vs. . The test statistic is

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Since , the P-value lies between 0.005 and 0.001. Therefore this result would be significant at but not at 7.15 (a) The parameter refers to the true average proportion of students using the food service. (b) and s=6.66. The test statistic then is Since , our conclusion is to reject very strongly at level . There is sufficient evidence that the mean usage of the food service has increased as of the 4 F month of the contract. (c) The appropriate hypotheses are vs. (d) The test statistic is Since , our conclusion is not to reject at level . There is not sufficient evidence that the food service has met its goal of at least 70% usage. 7.17 (a) The straight line normal plot indicates that the data follow a normal distribution. (b) The test statistic is
Since , we reject the null hypothesis. There is sufficient evidence that the precision of the new device is better than the current monitor. (c) An upper one-sided confidence interval for is given by equation (7.20), Then an upper one-sided confidence bound for is . Since this is less than , our conclusion is to reject . This is consistent with our conclusion from the hypothesis test.
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