The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.8 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Assume that the sample is a simple random sample selected from a normally distributed population. Complete parts (a) through (d) below Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer below. OA. H: 18 minutes HA: 1.8 minutes OC. Ho: e 1.8 minutes HA: <1.8 minutes b. Compute the test statistic. (Round to two decimal places as needed.) c. Find the P-value of the test statistic OB. H: 21.8 minutes HA: 1.8 minutes OD. H: 1.8 minutes H: #1.8 minutes The P-value of the test statistic is (Round to three decimal places as needed.) d. Does the use of the single line appear to reduce the variation among waiting times? There is sufficient evidence to conclude that the single line reduced the variation among waiting times because Ho is not rejected by the hypothesis test

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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6.3
6.8
7.1
7.5
6.7
6.9
6.9
7.7
6.9
7.5
6.4
7.5
5.8
7.2
7.1
Customer Waiting Times
(in minutes)
6.3
7.6
7.4
6.2
6.6
7.2
6.9
6.8
6.8
7.9
7.2
7.5
6.2
6.4
6.1
6.7
6.4
6.2
6.8
8.1
6.3
6.6
7.4
6.8
6.8
7.3
78
32
8.2
6.7
7.3
96
6.1
6.5
7.2
6.6
7.1
7.8
6.1
6.8
7.5
6.1
6.1
8.6
6.7
6.3
7.1
6.8
0
Transcribed Image Text:6.3 6.8 7.1 7.5 6.7 6.9 6.9 7.7 6.9 7.5 6.4 7.5 5.8 7.2 7.1 Customer Waiting Times (in minutes) 6.3 7.6 7.4 6.2 6.6 7.2 6.9 6.8 6.8 7.9 7.2 7.5 6.2 6.4 6.1 6.7 6.4 6.2 6.8 8.1 6.3 6.6 7.4 6.8 6.8 7.3 78 32 8.2 6.7 7.3 96 6.1 6.5 7.2 6.6 7.1 7.8 6.1 6.8 7.5 6.1 6.1 8.6 6.7 6.3 7.1 6.8 0
The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is
less than 1.8 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Assume that the
sample is a simple random sample selected from a normally distributed population. Complete parts (a) through (d) below.
Click on the icon to view the data.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
OA. H: 18 minutes
HA:a=1.8 minutes
OC. Ho: 1.8 minutes
HA: <1.8 minutes
b. Compute the test statistic.
2-0
(Round to two decimal places as needed.)
c. Find the P-value of the test statistic
OB. H: 21.8 minutes
HA:
<1.8 minutes
OD. H: 1.8 minutes
HA: #1.8 minutes
The P-value of the test statistic is
(Round to three decimal places as needed.)
d. Does the use of the single line appear to reduce the variation among waiting times?
There is sufficient evidence to conclude that the single line reduced the variation among waiting times because H, is not rejected by the hypothesis test.
Transcribed Image Text:The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.8 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Assume that the sample is a simple random sample selected from a normally distributed population. Complete parts (a) through (d) below. Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer below. OA. H: 18 minutes HA:a=1.8 minutes OC. Ho: 1.8 minutes HA: <1.8 minutes b. Compute the test statistic. 2-0 (Round to two decimal places as needed.) c. Find the P-value of the test statistic OB. H: 21.8 minutes HA: <1.8 minutes OD. H: 1.8 minutes HA: #1.8 minutes The P-value of the test statistic is (Round to three decimal places as needed.) d. Does the use of the single line appear to reduce the variation among waiting times? There is sufficient evidence to conclude that the single line reduced the variation among waiting times because H, is not rejected by the hypothesis test.
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