Health and Welfare wishes to investigate if the tar contents (milligrams) varies among four brands of cigarettes. Three packs of each brand were selected, and one cigarette, and one cigarette from each pack was placed in a smoking machine to determine the tar content. An analysis of variance was performed and here are the results (some parts are hidden):

Source: DF SUM OF SQUARES MEAN SQUARE F VALUE PR>F

Model: 3 116.000000 0.0028

ERROR: 80.00000000

CORR. TOTAL 428.00000000000

11) Which statement is not correct?

A) The comparison-wise error rate is the probability of a type 1 error in any comparison

B) The experiment-wise error rate is the probability of at least one type1 error in all possible comparisons

C) There is no evidence of a difference between the average tar content of the hacker and killer brands.

D) The hacker brand appears to have lower mean tar content than the choker brand.

E) Two Sample means must differ by the least significant difference (5.9541) before the corresponding population means are declared different.

12) The analyst now wishes to perform a new experiment to distinguish among three different brands. She believes that the value of 4 is a good estimate if the population standard deviation. What is the estimated sample size to be 80% sure of detecting a 5mg difference in the mean tar content when testing at a=0.05?

A) 12 of each brand for a total of 36 cigarettes

B) 12 cigarettes in total ; four of each brand

c)14 of each brand for a total of 42 cigarettes

d)14 cigarettes in total; five cigarettes in two brands, four in the third

e)15 cigarettes in total; five of each in three brands.

Suppose the analyst wishes to repeat the experiment blocking by the type of inhalation of smokers. which of the following is NOT CORRECT about randomized complete block design ?

a) every block is randomized separately from every other block

b) every treatment must appear at least once in every block

c) blocking is used to remove the effects of another (not of interest) from the comparison of the levels of the primary factor

d) the ANOVA table will have another line in it for the contribution of the variability from the blocks

e) block should contain experimental units that are as different as possible from each other