Identify the Null Hypothesis, Alternative Hypothesis, Test Statistic, P-Value, Conclusion $18.7$

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim
-A researcher wants to test 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 $\bar { x }$ $= 21.3$ months and $\mathrm { s } = 7.7$ months. Test the claim that $\mu = 18.7$ months at the $0.05$ significance level. Use the traditional method of testing hypotheses.