Several years ago, the reported mean age of an inmate on death row was 39.9 year

Question

Several years ago, the reported mean age of an inmate on death row was 39.9 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 35 death-row inmates and finds that their mean age is 38.1, with a standard deviation of 10.5. Construct a 99% confidence interval about the mean age of death row inmates. What does the interval imply? A. H_0: H_1: B. Construct a 99% confidence interval about the mean age (____, ____) Use ascending order. Round o two decimal points as needed) C. What does the interval imply? A. Since the given mean age is in the interval, reject the null hypothesis. B. Since the given mean age is in the interval, do not reject the null hypothesis. C. Since the given mean age is not in the interval, do not reject the null hypothesis. D. Since the given mean age is not in the interval, reject the null hypothesis.

Explanation / Answer

Excel formula:

sample size n= 35 mean= 38.1 SD= 10.5 Alpha= 1% Assumption: the age distribution follows Normal Confidence interval Lower limit 33.52836 upper limit 42.67164 This implies that if you randomly choose sample between the above interval 99% of the case you will get the true population mean. A. H0: there is no change in mean age, i.e. Mean=39.9 yrs Ha: there is change in mean age, i.e. Mean !=39.9 yrs B. Confidence interval Lower limit 33.53 upper limit 42.67 C. Ans B is correct. Can't reject H0 since given mean age is in the computed interval

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