Question

One​ year, the mean age of an inmate on death row was 39.3 years. A sociologist wondered whether the mean age of a​ death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.7​, with a standard deviation of 9.5. Construct a​ 95% confidence interval about the mean age. What does the interval​ imply?

Choose the correct hypotheses.

H0​:

muμ

x overbarx

sigmaσ

pp

▼

not equals≠

less than<

equals=

greater than>

________​(Type integers or decimals. Do not​ round.)

H1​:

▼

pp

sigmaσ

muμ

x overbarx

▼

equals=

less than<

not equals≠

greater than>

_____​(Type integers or decimals. Do not​ round.)

Construct a​ 95% confidence interval about the mean age. With​ 95% confidence, the mean age of a death row inmate is between__ years and ___nothing years. ​(Round to two decimal places as​ needed.)

What does the interval​ imply?

A.Since the mean age from the earlier year is not contained in the​ interval, there is not sufficient evidence to conclude that the mean age had changed.

B.Since the mean age from the earlier year is contained in the​ interval, there is not sufficient evidence to conclude that the mean age had changed.

C.Since the mean age from the earlier year is contained in the​ interval, there is sufficient evidence to conclude that the mean age had changed.

D.Since the mean age from the earlier year is not contained in the​ interval, there is sufficient evidence to conclude that the mean age had changed.

Answer 1