Oneyear, the mean age of an inmate on death row was 41.1 years. A sociologist wondered whether the mean age of adeath-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 40.5, with a standard deviation of 9.2. Construct a95% confidence interval about the mean age. What does the intervalimply?

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Click the icon to view the table of criticalt-values.

Choose the correct hypotheses.

H0:

x overbar

x

p

p

mu

sigma

equals

=

less than

<

greater than

>

not equals

nothing

H1:

p

p

sigma

x overbar

x

mu

not equals

equals

=

less than

<

greater than

>

nothing

(Type integers or decimals. Do notround.)

Construct a95% confidence interval about the mean age.

With95% confidence, the mean age of a death row inmate is between

nothing

years and

nothing

years. (Round to two decimal places asneeded.)

What does the intervalimply?

A.

Since the mean age from the earlier year isnot contained in theinterval, there isnot sufficient evidence to conclude that the mean age had changed.

B.

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

C.

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

D.

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