Fifteen stores were selected to test the effects of three different designs for packaging a tablet on sale. Five stores each were randomly assigned to design 1, 2, or 3. The data below provide the sales over a one-week period. The marketing team decided not to use ANOVA to test whether the three different designs had the same effect on sales or whether sales were increased by some designs over others. The hypotheses to be tested are: A)H₀: $\mu$₁= $\mu$₂= $\mu$₃ vs. H_a: at least two means are different. B)H₀: median₁= median₂= median₃ vs. H_a: at least two medians are different. C)H₀: sales are not the same for all designs vs. H_a: sales are systematically higher for some designs over others. D)None of the answer options is correct.

Question

Quizplus · Accepted Answer

The hypotheses to be tested in this scenario involve comparing the effects of three different designs on sales, which is a comparison of means. Therefore, ANOVA is a suitable statistical test for analyzing this data. Choice A is incorrect as it does not specify that the means being compared are related to different designs. Choice B is incorrect because it suggests comparing medians instead of means, which may not be appropriate if the data is normally distributed. Choice D is incorrect as there is a clear need for a statistical test to make conclusions based on the data. Therefore, the best choice is C, as it correctly identifies the need for testing the hypothesis that sales are systematically higher for some designs over others.

Fifteen Stores Were Selected to Test the Effects of Three μ\muμ

Fifteen Stores Were Selected to Test the Effects of Three $\mu$