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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. These data are shown in the table. Times working on email (in minutes) New email client 184, 188, 177, 181, 176, 160, 181, 173, 191, 166, 166, 185, 163, 182, 174, 176 Old email client 191, 188, 146, 129, 169, 150, 163, 123, 80, 226, 171, 236, 115, 179, 155, 97, 82, 195| Send data to calculator v Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.01 level of significance, 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?

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. These data are shown in the table. Times working on email (in minutes) New email client 184, 188, 177, 181, 176, 160, 181, 173, 191, 166, 166, 185, 163, 182, 174, 176 Old email client 191, 188, 146, 129, 169, 150, 163, 123, 80, 226, 171, 236, 115, 179, 155, 97, 82, 195| Send data to calculator v Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.01 level of significance, 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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. These data are shown in the table. Times working on email (in minutes) New email client 184, 188, 177, 181, 176, 160, 181, 173, 191, 166, 166, 185, 163, 182, 174, 176 Old email client |191, 188, 146, 129, 169, 150, 163, 123, 80, 226, 171, 236, 115, 179, 155, 97, 82, 195 Send data to calculator Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.01 level of significance, 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?
Transcribed Image Text: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. These data are shown in the table. Times working on email (in minutes) New email client 184, 188, 177, 181, 176, 160, 181, 173, 191, 166, 166, 185, 163, 182, 174, 176 Old email client |191, 188, 146, 129, 169, 150, 163, 123, 80, 226, 171, 236, 115, 179, 155, 97, 82, 195 Send data to calculator Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.01 level of significance, 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.) Es (a) State the null hypothesis H. and the alternate hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. O=0 |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, 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? O Yes ONo
Transcribed Image Text: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.) Es (a) State the null hypothesis H. and the alternate hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. O=0 |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.01 level of significance, 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? O Yes ONo
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