shoes sold per day by storesaccording to the number of competitors within a 1-mi
ID: 3365972 • Letter: S
Question
shoes sold per day by storesaccording to the number of competitors within a 1-mile radius andthe location of the store. The company researchers selectedthree types of stores for consideration in the study: stand-alonesuburban stores, mall stores, and downtown stores. Thesestores vary in the numbers of competing stores within a 1-mileradius, which have been reduced to four categories: 0 competitors,1 competitor, 2 competitors, and 3 or morecompetitors. Suppose the following data represent the numberof pairs of shoes sold per day for each of these types of storeswith the given number of competitors. Use =0.05 and analyze the data.
Answer: Frow=34.31,reject; Fcol=14.20 reject;Fint=3.32, reject Note:DO NNNNNNNNNNNot use EXCEL
solve it step by step after look to answer I post
Number of Competitors
0
1
2
3 or more
Stand-Alone
41
38
61
47
30
31
50
40
45
39
54
39
Store
Mall
25
29
44
43
Location
31
35
48
42
22
30
50
53
Downtown
18
22
29
24
29
17
28
27
33
25
26
32
Number of Competitors
0
1
2
3 or more
Stand-Alone
41
38
61
47
30
31
50
40
45
39
54
39
Store
Mall
25
29
44
43
Location
31
35
48
42
22
30
50
53
Downtown
18
22
29
24
29
17
28
27
33
25
26
32
Explanation / Answer
Two-way ANOVA: shoe versus row, column
Source DF SS MS F P
row 2 1837.72 918.861 36.47 0.000
column 3 1184.31 394.769 15.67 0.000
Interaction 6 554.28 92.380 3.67 0.010
Error 24 604.67 25.194
Total 35 4180.97
S = 5.019 R-Sq = 85.54% R-Sq(adj) = 78.91%
Conclusion:
The estimated p-value of the row is 0.000. Hence, we can not accept the null hypothesis and conclude that at least one store location has significant shoes sold per day than remaining two locations at 0.05 level of significance.
The estimated p-value of the column is 0.000. Hence, we can not accept the null hypothesis and conclude that at least one competitor has significant shoes sold per day than remaining three competitors at 0.05 level of significance.
The estimated p-value of interaction effect is 0.01. Hence, we can not accept the null hypothesis and conclude that the interaction of store location and competitors have the significant effect on the shoe sale at 0.05 level of significance.
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