An Internet Service Provider (ISP) in a mid-sized US city has a small technical support staff to handle customer problems. A month after a major power outage, the technical support staff told the ISP's management that they had been receiving an unusually large number of calls since the power outage. The number of daily technical support calls for the month following the power outage is shown in the Midterm Exam Workbook. For comparison, the ISP pulled daily support call data for the three months before the power outage; these data are also shown in the Midterm Exam Workbook. 4 Midterm Exam a. First, compare the mean number of daily technical support calls before and after the power outage. Are the data paired or unpaired? What are the variances of the two samples? Which is the appropriate test of two meansfor paired data, unpaired data with equal variances, or unpaired data with unequal variances? b. Conduct the appropriate hypothesis test to determine whether there is sufficient evidence that the mean number of daily technical support calls is higher after the power outage than before. Specifically, state the null hypothesis and the alternative hypothesis, then compute the relevant test statistic. c. Is the hypothesis test one- or two-tailed? What is the p-value for the test statistic in (b)? d. Based on the results from (b) and (c), what is your conclusion about the difference in daily technical support calls at = 0.05? e. Now, focus on the period after the power outage. If the ISP's customer service target is fewer than 50 technical support calls per day, conduct the appropriate test of the alternative hypothesis that customers are making more than 50 technical support calls per day after the power outage. Specifically, state the null hypothesis then compute the relevant test statistic. Is this a one-tailed test to the left, a one-tailed test to the right, or a two-tailed test? f. What is the p-value for the test statistic in (e)? What is your conclusion about the number of daily technical support calls at = .05? g. Compute a 95% confidence interval for daily technical support calls after the power outage.