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 busies 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 17 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 Times working on email (in minutes) 181, 165, 186, 163, 191, 170, 172, 214, 175, 162, 172, 172, 184, 192, 174, 212, 188 108, 62, 159, 89, 141, 129, 154, 113, 89, 220, 204, 140, 151, 225, 94, 202, 129, 105 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.)
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 busies 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 17 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 Times working on email (in minutes) 181, 165, 186, 163, 191, 170, 172, 214, 175, 162, 172, 172, 184, 192, 174, 212, 188 108, 62, 159, 89, 141, 129, 154, 113, 89, 220, 204, 140, 151, 225, 94, 202, 129, 105 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 17 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
Times working on email (in minutes)
181, 165, 186, 163, 191, 170, 172, 214, 175, 162, 172, 172, 184, 192, 174, 212,
188
108, 62, 159, 89, 141, 129, 154, 113, 89, 220, 204, 140, 151, 225, 94, 202, 129,
105
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.)
(a) State the null hypothesis H and the alternate hypothesis H₁.
Ho :O
H₁:0
(b) Determine the type of test statistic to use.
Chi-square
Degrees of freedom:
(c) Find 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.)
(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?
OYes O No
H
|x
0*0
O
x
S
0=0 OSO
Do
O<O
Р
ê
ロマロ
S
O>O
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman