In a study of low tar cigarettes, five cigarettes from each of three brands were tested to see if the mean amount of tar per cigarette differs among the brands. i. The F critical value for alpha = 0.05 is 3.89. ii. If F calculated is 4.75, the decision if $\alpha$ = 0.05 is to reject H₀. iii. If the calculated F is 4.74, the decision if $\alpha$ = 0.01 is to not reject H₀. A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

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Quizplus · Accepted Answer

(i) and (ii) are correct because the F critical value is 3.89 and the calculated F is 4.75, which is greater than the critical value, so we reject H0. (iii) is incorrect because the calculated F is 4.74, which is less than the critical value for alpha = 0.01, so we fail to reject H0.

In a Study of Low Tar Cigarettes, Five Cigarettes from Each