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) spen 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 16 CSRS using the new email client and a random sample of 18 CSRS usin 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.
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) spen 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 16 CSRS using the new email client and a random sample of 18 CSRS usin 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.
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
![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 16 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.
Times working on email (in minutes)
New email client 166, 188, 207, 172, 202, 148, 192, 173, 197, 197, 158, 172, 209, 185, 203, 169
Old email client 78, 196, 145, 195, 109, 85, 95, 138, 232, 47, 146, 122, 184, 247, 171, 132, 141, 142
Send data to calculator V
Assume that the two populations of times are approximately normally distributed. Let u, be the population mean time spent working on email by CSRS using the
new client. Let us be the population mean time spent working on email by CSRS using the old client.
Construct a 99% confidence interval for the difference μ₁-₂. Then find the lower and upper limit of the 99% confidence interval. Carry your intermediate
computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.)
W
S
Lower limit:
Upper limit:
Continue
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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). 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 16 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.
Times working on email (in minutes)
New email client 166, 188, 207, 172, 202, 148, 192, 173, 197, 197, 158, 172, 209, 185, 203, 169
Old email client 78, 196, 145, 195, 109, 85, 95, 138, 232, 47, 146, 122, 184, 247, 171, 132, 141, 142
Send data to calculator V
Assume that the two populations of times are approximately normally distributed. Let u, be the population mean time spent working on email by CSRS using the
new client. Let us be the population mean time spent working on email by CSRS using the old client.
Construct a 99% confidence interval for the difference μ₁-₂. Then find the lower and upper limit of the 99% confidence interval. Carry your intermediate
computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.)
W
S
Lower limit:
Upper limit:
Continue
8
E
D
C
14
4
R
F
V
X
96
5
T
G
3
f6 CB
6
B
17 33
Y
H
&
7
N
U
hp
8
19
T
B
1
M
(
O
9
15
K
no
13
D
N
O
alt
m
no
J
[www]
S
3
P
112
B
O
Submit Assignment
scroll
CRE
+ !!
pause
tament
backspa
en
T shi
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