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Question: The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of twelve similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars.
Store
1
2
3
4
5
6
Shelf Space (X)
10
Weekly Sales (Y)
1.6
2.2
1.4
1.9
2.4
2.6
7
8
9
11
12
15
20
2.3
2.7
2.8
2.9
3.1
Is the correlation between weekly sales & shelf space significant at the .01 level of significance?
[A] Yes, the value of the test statistic does not exceed the critical value.[B] Yes, the computed t-test statistic is less than the critical value.[C] No, the sample correlation coefficient does not exceed the critical value.[D] Yes, the p-value of the test for significance is less than .01.
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