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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. For the CSRS using the new email client, the sample mean is 177.1 with a sample variance of 263.9. For the CSRS using the old email client, the sample mean is 151.6 with a sample variance of 2168.5. Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.05 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.)

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 177.1 with a sample variance of 263.9. For the CSRS using the old email client, the sample mean is 151.6 with a sample variance of 2168.5. Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.05 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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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question 4) Please answer (d) and (e) but please also check if the degree of freedom is correct if possible 

(a) State the null hypothesis H, and the alternate hypothesis H,. Ho : H1 H, : µ, > H2 (b) Determine the type of test statistic to use. Degrees of freedom: 32 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2.078 (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.05 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? Yes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternate hypothesis H,. Ho : H1 H, : µ, > H2 (b) Determine the type of test statistic to use. Degrees of freedom: 32 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2.078 (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.05 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? Yes ONo
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 177.1 with a sample variance of 263.9. For the CSRS using the old email client, the sample mean is 151.6 with a sample variance of 2168.5. Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.05 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.)
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. For the CSRS using the new email client, the sample mean is 177.1 with a sample variance of 263.9. For the CSRS using the old email client, the sample mean is 151.6 with a sample variance of 2168.5. Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.05 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.)
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