A sporting goods store believes the average age of its customers is 36 or less. A random sample of 48 customers wassurveyed, and the average customer age was found to be 38.4 years. Assume the standard deviation for customer age is 8.0 years. Using =0.01, complete parts a and b below.

a. Does the sample provide enough evidence to refute the age claim made by the sporting goodsstore?

Determine the null and alternative hypotheses.

H0:

equals

=

less than or equals

greater than or equals

less than

<

not equals

greater than

>

nothing

H1:

not equals

equals

=

greater than

>

less than

<

less than or equals

greater than or equals

nothing

Thez-test statistic is

nothing

.

(Round to two decimal places asneeded.)

The criticalz-score(s) is(are)

nothing

.

(Round to two decimal places as needed. Use a comma to separate answers asneeded.)

Because the test statistic (falls within the critical values, is greater than the critical values, does not fall within the critical values, or is less than the critical value)

(reject, do not reject)

reject

do not reject

the null hypothesis.

b. Determine thep-value for this test.

Thep-value is

nothing

.

(Round to three decimal places asneeded.)