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.
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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