a shop sells three shoe brands. The shop owner wanted to find out if there were...

a shop sells three shoe brands. The shop owner wanted to find out if there were differences in sales levels of the three shoe brands. Therefore the store owner issued a monthly record of sales of the three shoe brands. With an error rate of 0.05, test whether there are differences in sales of the three shoe brands?

Month	I	II	III	IV	V	VI	VII
Brand A	78	64	75	45	82	69	60
Brand B	110	70	53	51	61	68
Brand C	90	68	70	54	74	65	59

Solutions

Expert Solution

Here, we are to test : there is no difference in the mean sales value of the 3 shoe brands, versus, : the mean sales value of at least one of the 3 shoe brands is different. We are to carry out a one-way Anova (Single Factor) test for this purpose.
For Brand A, = 7, = 67.57, = 158.95.
For Brand B, = 6, = 68.83, = 465.37.
For Brand C, = 7, = 68.57, = 134.62.
Also, overall mean = 68.30 = .

Since the test statistic value is less than the critical value, we fail to reject the null hypothesis . We conclude that there is not enough evidence to suggest that there are differences in sales of the three shoe brands.

orchestra answered 1 year ago

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