Compute the test statistic. Find the​ P-value of the test statistic. Does the use of the single line appear to red

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Compute the test statistic.

Find the​ P-value of the test statistic.

Does the use of the single line appear to reduce the variation among waiting​ times?

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 2.3 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 0.025. Complete parts (a) through (d) below.
E Click on the icon to view the data.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
A. Ho: o=2.3 minutes
O B. Ho: o= 2.3 minutes
HA: o< 2.3 minutes
HA: 0+2.3 minutes
O C. Ho: o22.3 minutes
HA: o<2.3 minutes
O D. Ho: o < 2.3 minutes
HA: 0 = 2.3 minutes
b. Compute the test statistic.
(Round to two decimal places as needed.)
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 2.3 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 0.025. Complete parts (a) through (d) below. E Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: o=2.3 minutes O B. Ho: o= 2.3 minutes HA: o< 2.3 minutes HA: 0+2.3 minutes O C. Ho: o22.3 minutes HA: o<2.3 minutes O D. Ho: o < 2.3 minutes HA: 0 = 2.3 minutes b. Compute the test statistic. (Round to two decimal places as needed.)
Customer Waiting Times
(in minutes)
7.8
7.5
5.5
7.1
6.5
7.3
6.5
6.2
6.9
7.1
8.3
6.2
7.8
5.6
7.8
7.7
7.8
6.6
6.6
7.5
6.3
6.6
7.6
11.9
7.1
7.8
6.9
7.6
6.8
7.8
7.2
7.4
6.5
7.3
6.2
6.4
7.3
6.9
6.6
7.2
8.8
6.5
11.8
6.7
8.8
6.8
6.9
6.4
6.3
7.6
7.6
6.2
7.9
6.1
6.2
6.3
6.7
8.1
7.5
7.5
Transcribed Image Text:Customer Waiting Times (in minutes) 7.8 7.5 5.5 7.1 6.5 7.3 6.5 6.2 6.9 7.1 8.3 6.2 7.8 5.6 7.8 7.7 7.8 6.6 6.6 7.5 6.3 6.6 7.6 11.9 7.1 7.8 6.9 7.6 6.8 7.8 7.2 7.4 6.5 7.3 6.2 6.4 7.3 6.9 6.6 7.2 8.8 6.5 11.8 6.7 8.8 6.8 6.9 6.4 6.3 7.6 7.6 6.2 7.9 6.1 6.2 6.3 6.7 8.1 7.5 7.5
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