As part of a staged rollout a new email client was installed

Last updated: 5/25/2023

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 One of the company s performance analysts has been tasked with estimating the difference on the busiest day of the year between the mean time in minutes spent working on email for CSRS using the new email client and 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 17 CSRS using the new email client and a random sample of 18 CSRS using the old email client These samples are chosen independently The analyst records the amount of time in minutes each CSR spends working on email These data are shown in the table New email client 180 184 181 157 188 178 177 206 181 154 195 179 147 178 183 196 206 Old email client 89 169 172 193 157 109 198 100 167 174 133 242 176 118 143 203 170 178 Send data to calculator V Times working on email in minutes Assume that the two populations of times are approximately normally distributed Let be the population mean time spent working on email by CSRS using the new client Let be the population mean time spent working on email by CSRS using the old client Construct a 95 confidence interval for the difference Then find the lower and upper limit of the 95 confidence interval Carry your intermediate computations to three or more decimal places Round your answers to two or more decimal places If necess ry consult a list of formulas Lower limit Upper limit X