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

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.

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.

orchestra answered 3 years ago

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