Nicotine in cigarettes. To determine whether the mean nicotine content of a bran

Question

Nicotine in cigarettes. To determine whether the mean nicotine content of a brand of cigarettes is greater than the advertised value of 1.4 milligrams, a health advocacy group tests
H0: ¹ = 1:4
Ha: ¹ > 1:4
The calculated value of the test statistic is z = 2:42.
(a) Is the result significant at the 5% level?
(b) Is the result significant at the 1% level?
(c) By comparing z with the critical values in the bottom row of Table C, give two numbers that catch the P-value between them

Explanation / Answer

(a) Is the result significant at the 5% level? Given |Z(0.05)|=1.645 (check standard normal table) Since Z=2.42 > 1.645, we reject Ho. ------------------------------------------------------------------ (b) Is the result significant at the 1% level? Given |Z(0.01)|=2.33 (check standard normal table) Since Z=2.42 > 2.33, we reject Ho. ------------------------------------------------------------------ (c) By comparing z with the critical values in the bottom row of Table C, give two numbers that catch the P-value between them The p-value= P(Z>2.42)= 0.0078 (check standard normal table)

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