As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer service representatives (CSRs). These CSRs have complained to management saying that the new client is much worse than the old one. One of the company's performance analysts has been tasked with determining if on the busiest day of the year the mean time (in minutes) spent working on email for CSRs using the new email client is greater than the mean time (in minutes) spent working on email for CSRs using the old email client. On the busiest day of the year, the performance analyst studies a random sample of 16 CSRs using the new email client and a random sample of 18 CSRs using the old email client. (These samples are chosen independently.) Each CSR records the amount of time (in minutes) they spend working on email. For the CSRs using the new email client, the sample mean is 183.6 with a sample variance of 345.7. For the CSRs using the old email client, the sample mean is 144.7 with a sample variance of 2796.0. Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.01 level of signicance, that the population mean of the times spent working on email that day for CSRs using the new email client is greater than the population mean of the times spent working on email that day for CSRs using the old email client? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternate hypothesis H1- (b) Determine the type of test statistic to use. (Choose one) V (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.01 level of signicance, can the performance analyst conclude that the mean time spent working on email that day for CSRs using the new email client is greater than the mean time spent working on email that day for CSRs using the old email client? mYes mNo (X) '55 E