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Two-factor ANOVA test for Johnson Shampoo

Johnson Shampoo Company sells three shampoos - for dry, normal, oily, and greasy hair. Sales (in $millions) are given below.

Month Dry Normal Oily Greasy
June 7 9 12 10
July 11 12 14 12
August 13 11 8 9
September 10 10 10 7
October 8 13 7 8

Using the .05 level of significance, apply a two-factor ANOVA test to determine:

If the mean sales for dry, normal, oily, and greasy hair are the same (state F and the critical value and interpretation).

If the mean sales are the same for each of the five months (state F and the critical value and interpretation).

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The solution performs a two factor ANOVA test for Johnson shampoos.

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