A sporting goods store believes the average age of its customers is 36 or less. A random sample of 41 customers wassurveyed, and the average customer age was found to be 38.4 years. Assume the standard deviation for customer age is 7.0 years. Using =0.10, 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:

less than or equals

greater than or equals

equals

=

not equals

greater than

>

less than

<

nothing

H1:

greater than

>

equals

=

greater than or equals

less than

<

less than or equals

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

(does not reject, rejects)

the null hypothesis.

b. Determine thep-value for this test.

Thep-value is

nothing

.

(Round to three decimal places asneeded.)