A real estate agent has collected a random sample of 75 houses that were recently...

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A real estate agent has collected a random sample of 75 houses that were recently sold in a suburban community. She is particularly interested in comparing the appraised value and recent selling price of the houses in this particular market. Using this sample data below, find a 95% confidence interval for the mean difference between the appraised values and selling prices of the houses sold in this suburban community. Interpret the confidence interval for the real estate agent.

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House Value Price
1 119.37 121.87
2 148.93 150.25
3 130.39 122.78
4 135.70 144.35
5 126.30 116.20
6 137.08 139.49
7 123.49 115.73
8 150.83 140.59
9 123.48 120.29
10 132.05 147.25
11 148.21 152.26
12 139.53 144.80
13 114.34 107.06
14 140.04 147.47
15 136.01 135.12
16 140.93 140.24
17 132.42 129.89
18 118.30 121.14
19 122.14 111.23
20 149.82 145.14
21 128.91 139.01
22 134.61 129.34
23 121.99 113.61
24 150.50 141.05
25 142.87 152.90
26 155.55 157.79
27 128.50 135.57
28 143.36 151.99
29 119.65 120.53
30 122.57 118.64
31 145.27 149.51
32 149.73 146.86
33 147.70 143.88
34 117.53 118.52
35 140.13 146.07
36 136.57 135.35
37 130.44 121.54
38 118.13 132.98
39 130.98 147.53
40 131.33 128.49
41 141.10 141.93
42 117.87 123.55
43 160.58 162.03
44 151.10 157.39
45 120.15 114.55
46 133.17 139.54
47 140.16 149.92
48 124.56 122.08
49 127.97 136.51
50 101.93 109.41
51 131.47 127.29
52 121.27 120.45
53 143.55 151.96
54 136.89 132.54
55 106.11 114.33
56 137.54 141.32
57 134.33 83.76
58 127.59 118.20
59 137.44 140.20
60 114.09 113.55
61 145.46 156.52
62 141.90 137.35
63 116.34 110.61
64 149.20 153.69
65 141.81 153.33
66 116.44 111.95
67 137.74 143.46
68 144.70 142.13
69 149.66 155.46
70 118.17 135.44
71 137.66 127.30
72 119.70 113.77
73 143.12 141.11
74 129.91 130.08
75 141.78 139.35

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