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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
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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