Test whether the mean sales in 3 gas stations are equal agai

Test whether the mean sales in 3 gas stations are equal against the alternative that not all the means are equal (use alpha = 1%). The following table provides summary statistics of three random samples taken from each gas station: Would your result change if alpha = 10% Why or why not

Solution

Since p-value is 0 < 0.01, conclude that all the means are not equal ai 1% los

if the level of significance is changed to 10%, then also the result remains the same

Source of Variation Sum of Squares d.f. Variance F p
Between Groups: 6000 2 3000 556.0455 0.0000
Within Groups: 64.7429 12 5.3952
Total: 6064.743 14
 Test whether the mean sales in 3 gas stations are equal against the alternative that not all the means are equal (use alpha = 1%). The following table provides

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