Question

# In 2002, the mean age of an inmate on death row was 40.7 years, according to...

In 2002, the mean age of an inmate on death row was 40.7 years, according to data obtained from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 34 death-row inmates and finds that their mean age is 38.5, with a standard deviation of 10.2.  Does this data indicate that the mean age of death-row inmates has changed significantly since 2002. Use the α = 0.05 level of significance.

On a separate sheet of paper, write down the hypotheses (H0 and Ha) to be tested.

Conditions:
We [a] (are / are not) able to determine if the data is normally distributed from the given description.
The t-test for means [b] (is / is not) valid for the given data.

Rejection Region:
To test the given hypotheses, we will use a (left / right / two) [c]-tailed test. The appropriate critical value(s) for this test is/are [d].  (Report your answer exactly as it appears in Table VI. For two-tailed tests, report both critical values in the answer blank separated by only a single space.)

Refer to the data and Minitab Express output from Question 1.

The test statistic for this test is t0=[a].  (Calculate this value in a single step in your calculator, and report your answer rounded to 3 decimal places.)

Label the test statistic in your sketch from Question 1. Use this sketch to conclude the hypothesis test.

We [b] (reject / fail to reject) H0.
The given data [c] (does / does not) provide significant evidence that the age of death-row inmates has changed since 2002.

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