According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less than the overall mean waiting time of 13 minutes? Use a = 0.05. State the hypotheses. Ho: 13 Ha: <13 What is the p-value (to 4 decimals)? 0.0217 Can you conclude that callers who use the IRS help-line early in the day have a shorter wait? No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister
to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers
who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time
of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is
reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you
conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is
significantly less than the overall mean waiting time of 13 minutes? Use a = 0.05.
State the hypotheses.
Ho:
13
Ha: < 13
What is the p-value (to 4 decimals)?
0.0217
Can you conclude that callers who use the IRS help-line early in the day have a shorter wait?
No
Transcribed Image Text:According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less than the overall mean waiting time of 13 minutes? Use a = 0.05. State the hypotheses. Ho: 13 Ha: < 13 What is the p-value (to 4 decimals)? 0.0217 Can you conclude that callers who use the IRS help-line early in the day have a shorter wait? No
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