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. O A. Ho: a=2.3 minutes HA: G2.3 minutes O B. H: o<2.3 minutes HA:a=2.3 minutes OC. Ho: a= 2.3 minutes OD. Ho: 022.3 minutes HA:a<2.3 minutes HA: a<2.3 minutes b. Compute the test statistic. J= (Round to two decimal places as needed.) c. Find the P-value of the test statistic. 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 v sufficient evidence conclude that the single line reduced the variation among waiting times because H, is by the hypothesis test.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.2: Percents And Proportions
Problem 18E
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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.
O A. Ho: 0 = 2.3 minutes
O B. Ho: o<2.3 minutes
HA: 0= 2.3 minutes
HA: 0+ 2.3 minutes
O C. Ho: o= 2.3 minutes
O D. Ho: 02 2.3 minutes
HA: o< 2.3 minutes
HA: o<2.3 minutes
b. Compute the test statistic.
(Round to two decimal places as needed.)
c. Find the P-value of the test statistic.
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
v sufficient evidence to conclude that the single line reduced the variation among waiting times because Ho is
vby 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 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. O A. Ho: 0 = 2.3 minutes O B. Ho: o<2.3 minutes HA: 0= 2.3 minutes HA: 0+ 2.3 minutes O C. Ho: o= 2.3 minutes O D. Ho: 02 2.3 minutes HA: o< 2.3 minutes HA: o<2.3 minutes b. Compute the test statistic. (Round to two decimal places as needed.) c. Find the P-value of the test statistic. 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 v sufficient evidence to conclude that the single line reduced the variation among waiting times because Ho is vby the hypothesis test.
Customer Waiting Times
Customer Waiting Times
(in minutes)
6.6
6.4
6.4
7.3
7.4
6.6
7.7
7.3
7.2
6.9
6.3
7.4
6.7
6.9
12.8
6.6
7.4
7.5
14.5
7.3
6.3
7.4
6.6
11.8
7.8
6.5
6.3
7.8
6.8
7.5
7.4
7.5
7.7
14.8
7.6
8.2
7.5
6.7
8.8
7.7
6.8
6.7
13.8
7.1
7.8
6.7
8.9
6.2
4.2
7.5
6.1
7.6
6.7
6.4
6.8
7.7
7.3
6.2
6.2
7.3
Transcribed Image Text:Customer Waiting Times Customer Waiting Times (in minutes) 6.6 6.4 6.4 7.3 7.4 6.6 7.7 7.3 7.2 6.9 6.3 7.4 6.7 6.9 12.8 6.6 7.4 7.5 14.5 7.3 6.3 7.4 6.6 11.8 7.8 6.5 6.3 7.8 6.8 7.5 7.4 7.5 7.7 14.8 7.6 8.2 7.5 6.7 8.8 7.7 6.8 6.7 13.8 7.1 7.8 6.7 8.9 6.2 4.2 7.5 6.1 7.6 6.7 6.4 6.8 7.7 7.3 6.2 6.2 7.3
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