Question

In: Statistics and Probability

The table below shows monthly sales (in thousands) of different kinds of chocolate at a confectionary...

  1. The table below shows monthly sales (in thousands) of different kinds of chocolate at a confectionary store. Assume monthly sales are normally distributed and share the same variance.

Month

Milk Chocolate

White Chocolate

Dark Chocolate

January

9

7

9

February

8

6

9

March

8

7

10

April

10

9

6

Without using excel or any other technological tool, use ANOVA to test, at the 5% significance level, the hypothesis that all three chocolates sell equally on average.

Solutions

Expert Solution

H0:  all three chocolates sell are equally on average.

H1: all three chocolates sell are not equally on average.

From the given data

Month Milk Chocolate White Chocolate Dark Chocolate Ti Ti^2/3
January 9 7 9 25 208.3333
February 8 6 9 23 176.3333
March 8 7 10 25 208.3333
April 10 9 6 25 208.3333
Tj 35 29 34 98 801.3333
Tj^2/4 306.25 210.25 289 805.5

ANOVA Table:

P-value = 0.422 > alpha 0.05 so we accept H0

Thus we conclude that all three chocolates sell are equally on average.


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