The data for a random sample of 8 paired observations are shown in the table to

Question

The data for a random sample of 8 paired observations are shown in the table to the right. What are the appropriate null and alternative hypotheses to test whether the mean for population 2 is larger than that for population 1? Conduct the test identified in part a using alpha = 0.10. Find a 90% confidence interval for mu_d. Interpret this result. What assumptions are necessary to ensure the validity of this analysis? What are the hypotheses for mu_d = (mu_1 - mu_2)? H_0: mu_d = 0 H_a: mu_d > 0 Identify the rejection region for testing the hypotheses with alpha = 0.05. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) Calculate the test statistic. t = (Round to three decimal places as needed.) Give the appropriate conclusion for the test. Since the test statistic in the rejection region, conclude that the mean number of swims required for male pups is a the mean number required for female pups. Select all the conditions that are required for the test results to be valid. The variances of the two populations are approximately the same. The population of differences is approximately normal. The populations being sampled are approximately normal. No assumptions are required.

Explanation / Answer

a) Correct Answer (E)

b) | t | >= 1.895            critical value

Test statistic     t = - 4.356

                     | t | = 4.356

c) Reject H0 Since test statistic is in the rejection region , there is sufficieint evdidence that the mean population 2 is more than that for population 1

d) The 90% Confidence interval is -5.38 < µd < -2.12

e) The interval falls below 0, which provide evidenc that mean of populaiton 2 is greater than population 1

d) Opation A and B correct

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