Carry your intermediate computations to three or more decimal places. (If necessary, co (a) State the null hypothesis Ho and the alternate hypothesis H₁. Ho :D H₁ :0 (b) Determine the type of test statistic to use. (Choose one) the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (c) (e) At the 0.10 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? OYes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
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.
New email client
Old email client
Send data to calculator V
Times working on email (in minutes)
195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 196
61, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121
Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10
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?
Send data to Excel
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.)
Explanation
(a) State the null hypothesis H and the alternate hypothesis H₁.
H₂:0
Check
μ
X
O
S
Р
P
Es
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acc
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. New email client Old email client Send data to calculator V Times working on email (in minutes) 195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 196 61, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121 Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10 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? Send data to Excel 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.) Explanation (a) State the null hypothesis H and the alternate hypothesis H₁. H₂:0 Check μ X O S Р P Es © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acc
the population mean of the times spent working on email that day for CSRS L
V
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, cons
(a) State the null hypothesis Ho and the alternate hypothesis H₁.
H₁ : D
H₁ :
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value. (Round to three or more decimal places.)
0
(e) At the 0.10 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?
OYes No
Explanation
Check
Ⓒ2022 McGraw Hill LLC. All Rig
Transcribed Image Text:the population mean of the times spent working on email that day for CSRS L V Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, cons (a) State the null hypothesis Ho and the alternate hypothesis H₁. H₁ : D H₁ : (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) 0 (e) At the 0.10 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? OYes No Explanation Check Ⓒ2022 McGraw Hill LLC. All Rig
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