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A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.2 pounds per year. Assume the population standard deviation is 1.21 pounds. At alphaequals0.06, can you reject the claim?

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(a) Identify the null hypothesis and alternative hypothesis.

A.

Upper H 0: muequals3.6

Upper H Subscript a: munot equals3.6

B.

Upper H 0: muless than or equals3.6

Upper H Subscript a: mugreater than3.6

C.

Upper H 0: munot equals3.2

Upper H Subscript a: muequals3.2

D.

Upper H 0: muless than or equals3.2

Upper H Subscript a: mugreater than3.2

E.

Upper H 0: mugreater than3.2

Upper H Subscript a: muless than or equals3.2

F.

Upper H 0: mugreater than3.6

Upper H Subscript a: muless than or equals3.6

(b) Identify the standardized test statistic.

zequals

nothing (Round to two decimal places as needed.)

(c) Find the P-value.

nothing (Round to three decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

A.

Fail to reject Upper H 0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.6 pounds.

B.

Fail to reject Upper H 0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.6 pounds.

C.

Reject Upper H 0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.6 pounds.

D.

Reject Upper H 0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.6 pounds.

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