7.2(10b)

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is

40

milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of

37.7

milligrams. Assume the population is normally distributed and the population standard deviation is

6.7

milligrams. At

=0.03,

can you reject the company's claim? Complete parts (a) through (e).

Question content area bottom

Part 1

(a) Identify

H0

and

Ha.

Choose the correct answer below.

A.

H0:

40

Ha:

>40

B.

H0:

37.7

Ha:

>37.7

C.

H0:

=40

Ha:

40

Your answer is correct.

D.

H0:

=37.7

Ha:

37.7

E.

H0:

37.7

Ha:

=37.7

F.

H0:

40

Ha:

=40

Part 2

(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.

(Round to two decimal places as needed.)

A.

The critical values are

enter your response here.

B.

The critical value is

enter your response here.