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MNM, Inc. has three stores located in three different areas. Random samples of the daily sales...

MNM, Inc. has three stores located in three different areas. Random samples of the daily sales of the three stores (in $1,000) are shown below.

Store 1

Store 2

Store 3

9

10

  6

8

11

  7

7

10

  8

8

13

11


At a 5% level of significance, test to see if there is a significant difference in the average sales of the three stores.

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Answer #1

let us consider

H0: average sales are same

H1: at least two average sales are not same

using excel>data analysis>one way anova

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Store 1 4 32 8 0.666667
Store 2 4 44 11 2
Store 3 4 32 8 4.666667
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 24 2 12 4.909091 0.036182 4.256495
Within Groups 22 9 2.444444
Total 46 11

since p value 0.036182 <0.05 so we reject the null hypothesis and conclude there is a significant difference in the average sales of the three stores.

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