[Solution] Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the t-test using the


Question: Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the t-test using the critical-value approach.

A researcher wants to check the claim that convicted burglars spend an average of

18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that \(\bar{x}=21.5\) months and \(s=8\) months. Test the null hypothesis that \(\mu=18.7\) at the 0.05 significance level.

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