SOLUTION: I'd really appreciate the help, thank you!! Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago. Do the data show a significant differe

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Question 1179112: I'd really appreciate the help, thank you!!
Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago. Do the data show a significant difference in mean weekly sales at an alpha of 0.05?
Store 1: 102, 105, 110, 115, 110
Store 2: 97, 75, 80, 80, 100
Store 3: 89, 91, 75, 105, 95
Store 4: 100, 110, 90, 102, 101

a. State the null and alternative hypotheses (you MUST label which is H0 and which is H1)
b. What is the critical value?
c. What is the test statistic?
d. Do you reject or fail to reject?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. H%5B0%5D%3A+mu%5B1%5D+=+mu%5B2%5D=+mu%5B3%5D=+mu%5B4%5D
H%5B1%5D: Not all of the means are equal
A B C D
102 97 89 100
105 75 91 110
110 80 75 90
115 80 105 102
110 100 95 101

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
A 5 542 108.4 25.3
B 5 432 86.4 127.3
C 5 455 91 118
D 5 503 100.6 50.8



ANOVA
Source of Variation SS df MS F P-value
Between Groups 1453.2 3 484.4 6.028624767 0.006002372
Within Groups 1285.6 16 80.35
F crit
Total 2738.8 19 3.238871517

b. The critical F-value is highlight%283.238871517%29.
c. The test statistic is F.
d. From the result of the Anove test above, since F%5Btest%5D+%3E+F%5Bcrit%5D, or since significance level alpha = 0.05 > p-value = 0.006002372, conclusion is to reject the null hypothesis, and say that at least one of the means is not equal to the others.