uper Markets Inc. is considering expanding into the Scottsdale, Arizona, area. You, as director of planning, must present an analysis of the proposed expansion to the operating committee of the board of directors. As a part of your proposal, you need to include information on the amount people in the region spend per month for grocery items. You would also like to include information on the relationship between the amount spent for grocery items and income. Your assistant gathered the following sample information:     Household Income Amount 1 4388 555 2 4558 489 3 4793 458 4 4856 613 5 4856 647 6 4899 661 7 4899 662 8 5091 675 9 5133 549 10 5304 606 11 5304 668 12 5304 740 13 5346 592 14 5495 720 15 5581 680 16 5730 540 17 5943 693 18 5943 541 19 6156 673 20 6603 676 21 6688 913 22 6752 918 23 6837 1030 24 7242 1083 25 7263 937 26 7540 839 27 8009 1030 28 8094 1065 29 8264 1069 30 8392 1064 31 8414 1015 32 8882 1148 33 8925 1125 34 8989 1090 35 9053 1208 36 9138 1217 37 9329 1140 38 9649 1265 39 9862 1206 40 9883 1145   Let the amount spent be the dependent variable and monthly income the independent variable. At the .05 significance level, conduct a hypothesis test regarding  a positive correlation between amount spent and monthly income.    d. What is the critical value? (answer in 3 decimal places).

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Super Markets Inc. is considering expanding into the Scottsdale, Arizona, area.

You, as director of planning, must present an analysis of the proposed expansion to the operating committee of the board of directors. As a part of your proposal, you need to include information on the amount people in the region spend per month for grocery items. You would also like to include information on the relationship between the amount spent for grocery items and income. Your assistant gathered the following sample information:

 

 

Household Income Amount
1 4388 555
2 4558 489
3 4793 458
4 4856 613
5 4856 647
6 4899 661
7 4899 662
8 5091 675
9 5133 549
10 5304 606
11 5304 668
12 5304 740
13 5346 592
14 5495 720
15 5581 680
16 5730 540
17 5943 693
18 5943 541
19 6156 673
20 6603 676
21 6688 913
22 6752 918
23 6837 1030
24 7242 1083
25 7263 937
26 7540 839
27 8009 1030
28 8094 1065
29 8264 1069
30 8392 1064
31 8414 1015
32 8882 1148
33 8925 1125
34 8989 1090
35 9053 1208
36 9138 1217
37 9329 1140
38 9649 1265
39 9862 1206
40 9883 1145

 

Let the amount spent be the dependent variable and monthly income the independent variable.

At the .05 significance level, conduct a hypothesis test regarding  a positive correlation between amount spent and monthly income. 

 

d. What is the critical value? (answer in 3 decimal places).

 

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