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Exercise 09.19 (Population Mean: Sigma Known)
4 Question 6 of 13 *
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According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on averige 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 alpha =0.05.
State the hypotheses.
H_(0):mu >=13
H_(a):mu <13
What is the p-value (to 4 decimals)?
.0448
Can you conclude that callers who use the IRS help-line early in the day have a shorter wait?
Yes
Hint(s) Check My Work
H_(a):mu <13
估
.
.0448
Can you conclude that callers who use the IRS help-line early in the day have a shorter wait?
Yes
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Question6of 13
Questions Exercise 09.19(Population Mean:Sigma Known)
4.
Hint(sCheck My Work
5. 6.
0 e According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on averge 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 7. 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 8. 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 =0.05. 9. State the hypotheses. 10. Ho:13 11. H13 C 12. What is the p-value (to 4 decimals)? 13. .0448 Can you conclude that callers who use the IRS help-line early in the day have a shorter wait?
Yes
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Partially Correct