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Rejection Region For A Hypothesis Test

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The owner of a local night club has recently surveyed a random sample of n=250 customers of the club. She would now like to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to be 99% confident in her decision, what rejection region should she use?

Reject Ho if t <-2.34
Reject Ho if t <-2.55
Reject Ho if t >-2.34
Reject Ho if t >-2.58

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Solution Summary

This solution shows how to find the rejection region for a hypothesis test regarding a population mean.

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The owner of a local night club has recently surveyed a random sample of n=250 customers of the club. She would now like to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to be 99% confident in her decision, what rejection region should she use?

Reject Ho if t <-2.34
Reject Ho if t <-2.55
Reject Ho if t >-2.34
Reject Ho if t >-2.58

Since ...

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