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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 1.4 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. 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. H₂: a2 1.4 minutes HA: <1.4 minutes OC. Ho: a=1.4 minutes HA: 1.4 minutes b. Compute the test statistic 7-0 (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 is not sufficient evidence to conclude that the single line reduced the variation among waiting times because His OB. Ho: <1.4 minutes HA: =1.4 minutes OD. H: =1.4 minutes HA: <1.4 minutes by the hypothesis test. Customer Waiting Times 7.4 7.7 6.8 6.8 7.5 6.4 7.6 6.1 8.2 7.4 6.1 7.3 9.1 6.9 6.7 Customer Waiting Times (in minutes) 6.9 6.2 6.2 7.6 6.3 6.7 6.2 6.3 7.5 7.4 7.3 6.9 7.5 7.5 6.4 8.1 6.4 8.1 5.7 8.5 7.1 7.8 7.3 7.1 8.8 8.7 6.3 8.7 6.7 7.3 6.5 6.1 6.1 6.3 6.8 7.5 8.6 6.5 8.4 7.8 6.7 7.9 7.6 7.3 6.6

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 1.4 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. 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. H₂: a2 1.4 minutes HA: <1.4 minutes OC. Ho: a=1.4 minutes HA: 1.4 minutes b. Compute the test statistic 7-0 (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 is not sufficient evidence to conclude that the single line reduced the variation among waiting times because His OB. Ho: <1.4 minutes HA: =1.4 minutes OD. H: =1.4 minutes HA: <1.4 minutes by the hypothesis test. Customer Waiting Times 7.4 7.7 6.8 6.8 7.5 6.4 7.6 6.1 8.2 7.4 6.1 7.3 9.1 6.9 6.7 Customer Waiting Times (in minutes) 6.9 6.2 6.2 7.6 6.3 6.7 6.2 6.3 7.5 7.4 7.3 6.9 7.5 7.5 6.4 8.1 6.4 8.1 5.7 8.5 7.1 7.8 7.3 7.1 8.8 8.7 6.3 8.7 6.7 7.3 6.5 6.1 6.1 6.3 6.8 7.5 8.6 6.5 8.4 7.8 6.7 7.9 7.6 7.3 6.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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 1.4 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. 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. O A. Ho: 021.4 minutes HA: <1.4 minutes OC. Ho: o=1.4 minutes HA: #1.4 minutes b. Compute the test statistic. x² = [ (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 is not sufficient evidence to conclude that the single line reduced the variation among waiting times because Ho is C OB. Ho: <1.4 minutes HA: O=1.4 minutes O D. Ho: o=1.4 minutes HA: < 1.4 minutes by the hypothesis test. Customer Waiting Times 7.4 7.7 6.8 6.8 7.5 6.4 7.6 6.1 8.2 7.4 6.1 7.3 9.1 6.9 6.7 Customer Waiting Times (in minutes) 6.9 6.2 6.2 7.6 6.3 6.7 6.2 6.3 7.5 7.4 7.3 6.9 7.5 7.5 6.4 Print 8.1 6.4 81 5.7 8.5 7.1 7.8 7.3 7.1 8.8 8.7 6.3 8.7 6.7 7.3 6.5 6.1 6.1 6.3 6.8 7.5 8.6 6.5 8.4 7.8 6.7 7.9 7.6 7.3 6.6 Done D X
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 1.4 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. 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. O A. Ho: 021.4 minutes HA: <1.4 minutes OC. Ho: o=1.4 minutes HA: #1.4 minutes b. Compute the test statistic. x² = [ (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 is not sufficient evidence to conclude that the single line reduced the variation among waiting times because Ho is C OB. Ho: <1.4 minutes HA: O=1.4 minutes O D. Ho: o=1.4 minutes HA: < 1.4 minutes by the hypothesis test. Customer Waiting Times 7.4 7.7 6.8 6.8 7.5 6.4 7.6 6.1 8.2 7.4 6.1 7.3 9.1 6.9 6.7 Customer Waiting Times (in minutes) 6.9 6.2 6.2 7.6 6.3 6.7 6.2 6.3 7.5 7.4 7.3 6.9 7.5 7.5 6.4 Print 8.1 6.4 81 5.7 8.5 7.1 7.8 7.3 7.1 8.8 8.7 6.3 8.7 6.7 7.3 6.5 6.1 6.1 6.3 6.8 7.5 8.6 6.5 8.4 7.8 6.7 7.9 7.6 7.3 6.6 Done D X
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