(1)Use the Recidivism.xls data, construct a 95% confidence interval around the sample mean of AGE in Excel. Copy and paste the Excel output here. Interpret your results.

Age

69 36 23 24 23 59 69 60 57 52 45 35 53 35 20 56 55 50 65 77 76 54 64 35 70 50 76 49 57 58

(2)Assume that the average age of offenders at prison release in the state of Arizona is 30. Use the Recidivism.xls data to perform a hypothesis test to determine if the average age of offenders at prison release in your sample is significantly different from the average age in the offender population in Arizona. Use a .05 level of statistical significance. Run the one-sample t-test in Excel, and copy and paste the Excel output here. In your summary, please discuss the null hypothesis, alternative hypothesis, the result of this hypothesis test, and interpret the result.