Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants.   Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales) (n = 74 restaurants) Store

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants.
 

Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales)
(n = 74 restaurants)
Store Growth% Loyalty% Store Growth% Loyalty%
1 −8.3 2.1 38 7.1 1.6
2 −4.0 2.5 39 7.4 1.8
3 −3.9 1.7 40 7.7 2.2
4 −3.4 2.1 41 7.9 2.2
5 −3.3 2.5 42 8.1 2.8
6 −1.9 3.0 43 8.3 2.4
7 −0.8 2.3 44 8.5 3.1
8 −0.4 2.3 45 8.6 2.2
9 −0.2 2.2 46 8.7 1.3
10 −0.2 2.3 47 8.8 1.8
11 0.5 2.1 48 8.8 2.5
12 0.6 2.5 49 8.9 1.9
13 0.8 2.0 50 9.1 2.0
14 1.9 2.0 51 9.5 2.4
15 2.0 2.0 52 10.2 2.2
16 2.1 2.6 53 10.7 2.2
17 2.8 2.2 54 11.0 0.3
18 2.9 2.1 55 11.3 1.9
19 4.0 1.9 56 11.4 1.9
20 4.0 2.2 57 11.5 2.2
21 4.0 0.7 58 11.7 2.6
22 4.0 2.0 59 11.8 2.2
23 4.2 1.8 60 11.9 2.1
24 4.6 2.1 61 12.5 2.0
25 5.1 2.5 62 12.8 0.9
26 5.1 2.6 63 13.8 1.1
27 5.5 2.0 64 14.1 3.4
28 5.9 2.0 65 14.2 1.2
29 5.9 1.4 66 14.6 2.1
30 6.0 2.0 67 14.9 0.9
31 6.1 2.1 68 15.4 2.2
32 6.1 2.1 69 16.2 1.7
33 6.1 2.7 70 17.2 2.4
34 6.3 2.0 71 18.4 2.8
35 6.6 2.0 72 20.8 1.1
36 6.9 1.6 73 25.5 0.6
37 6.9 1.9 74 28.8 1.8

 

(c-1) To test the correlation coefficient for significance at α = 0.05, fill in the following. (Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.)

 

 
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