## Related questions with answers

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 that the overall mean waiting time of $13$ minutes? Use $\alpha$ $= .05$

Solution

VerifiedFor this exercise, we are to come up with a conclusion for a test to determine whether the waiting time for calls placed during the first 30 minutes of the IRS help line is open each day is significantly less than the overall mean waiting time of 13 minutes for a $0.05$ level of significance.

Note that we have a sample of $50$ callers with a mean waiting time of $11$ minutes given a population standard deviation of $8$ minutes waiting time.

*What are the given parameter/s?*

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