Answer:
We will not reject the null hypothesis.
There is not enough evidence to support the claim that the mean age of death
-row inmates is different from 36.2 years.
Step-by-step explanation:
Consider the provided information.
The average age of an inmate in death row in 1989 was 36.2 years of age.
The sociologist collects a sample of 32 death-row inmates and finds that their mean age is 38.9 with a standard deviation of 9.6 years. Test the Sociologist’s claim at 0.05 significance level.
From the above information.
,
, , , n=32
This is a two sided test, with df = 32-1 = 31 and the critical values are .
Now find the z score as shown:
Substitute the respective values:
Since, 1.591 doesn’t lie in the critical region, hence we will not reject the null hypothesis.
There is not enough evidence to support the claim that the mean age of death
-row inmates is different from 36.2 years.