According to data, a particular brand of cigarettes contain an average of 1.6 mi

Question

According to data, a particular brand of cigarettes contain an average of 1.6 milligrams of nicotine. An advocacy group commissions an independent test to see if the mean nicotine content is higher than the industry laboratory claims.

(a) What are H0 and Ha?

-H0: = 1.6 mg; Ha: 1.6 mg

-H0: = 0.0 mg; Ha: > 0.0 mg

-H0: < 0.0 mg; Ha: = 0.0 mg

-H0: = 1.6 mg; Ha: > 1.6 mg

-H0: > 1.6 mg; Ha: = 1.6 mg

(b) Suppose that the test statistic is z = 2.37. Is this result significant at the 5% level?

-Yes, because z < 1.645 and P < 0.05.

-Yes, because z > 1.645 and P < 0.05.

-No, because z < 1.645 and P > 0.05.

-Yes, because z > 1.645 and P > 0.05.

-No, because z > 1.645 and P > 0.05.

(c) Is the result significant at the 1% level?

-No, because z > 2.326 and P > 0.01.

-No, because z < 2.326 and P > 0.01.

-Yes, because z > 2.326 and P < 0.01.

-No, because z > 2.326 and P > 0.01.

-Yes, because z < 2.326 and P < 0.01.

Explanation / Answer

Answers:

(a) H0: = 1.6 mg; Ha: > 1.6 mg

(b) P-value=P(z>2.37)=0.0089.

Ans: Yes, because z > 1.645 and P < 0.05

(c) No, because z < 2.326 and P > 0.01

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