A marketing and promotional call center wants to know if their agents are making efficient use of their times to reach the target audience. According to a report, the standard mean call duration should be 20 minutes per call. A sample of 19 previous calls were randomly chosen and found the mean duration to be 16.3 minutes per ticket with a standard deviation of 7.4 minutes. A test is conducted at 1% level of significance to conclude if the company's agents are performing better than expected. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.
A marketing and promotional call center wants to know if their agents are making efficient use of their times to reach the target audience. According to a report, the standard mean call duration should be 20 minutes per call. A sample of 19 previous calls were randomly chosen and found the mean duration to be 16.3 minutes per ticket with a standard deviation of 7.4 minutes. A test is conducted at 1% level of significance to conclude if the company's agents are performing better than expected. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A marketing and promotional call center wants to know if their agents are making efficient use of their times to reach the target audience. According to a
report, the standard mean call duration should be 20 minutes per call. A sample of 19 previous calls were randomly chosen and found the mean duration
to be 16.3 minutes per ticket with a standard deviation of 7.4 minutes. A test is conducted at 1% level of significance to conclude if the company's agents
are performing better than expected.
a. Calculate the value of the the appropriate test statistic for this test.
Answer rounded to at least 2 decimal places.
b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign)
Answer rounded to at least 3 decimal places.
c. Determine the p-value for this test.
Answer in exact fraction, or rounded to at least 4 decimal places.
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