minutes. Due to recent changes in their call handling procedures, the company's management believes the mean call duration has increased significantly. To evaluate this belief, a random sample of 41 calls is analyzed. The sample data shows an average call duration of 12.8 minutes, with a standard deviation of 1.9 minutes. Test the management's belief at the 0.05 level of significance. State the null and alternative hypotheses associated with the test. ) What is the calculated value of the associated test statistic? What is the critical value of the associated test statistic? State your decision about the null hypothesis by comparing the calculated and critical values of the test statistic..

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The average duration of customer support calls at QuickHelp Call Center has been 12
minutes. Due to recent changes in their call handling procedures, the company's
management believes the mean call duration has increased significantly. To evaluate
this belief, a random sample of 41 calls is analyzed. The sample data shows an
average call duration of 12.8 minutes, with a standard deviation of 1.9 minutes. Test
the management's belief at the 0.05 level of significance.
a) State the null and alternative hypotheses associated with the test.
b) What is the calculated value of the associated test statistic?
c) What is the critical value of the associated test statistic?
d) State your decision about the null hypothesis by comparing the calculated and critical
values of the test statistic..AM
e)
What is the p-value of the associated test statistic? State your decision about the null
hypothesis by comparing the p-value and the level of significance.
f) State your conclusion based on the decision about the null hypothesis.
Transcribed Image Text:The average duration of customer support calls at QuickHelp Call Center has been 12 minutes. Due to recent changes in their call handling procedures, the company's management believes the mean call duration has increased significantly. To evaluate this belief, a random sample of 41 calls is analyzed. The sample data shows an average call duration of 12.8 minutes, with a standard deviation of 1.9 minutes. Test the management's belief at the 0.05 level of significance. a) State the null and alternative hypotheses associated with the test. b) What is the calculated value of the associated test statistic? c) What is the critical value of the associated test statistic? d) State your decision about the null hypothesis by comparing the calculated and critical values of the test statistic..AM e) What is the p-value of the associated test statistic? State your decision about the null hypothesis by comparing the p-value and the level of significance. f) State your conclusion based on the decision about the null hypothesis.
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