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# Statistics - Confidence Interval

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Problem 24

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. The value of these two variables for each of the
75 randomly chosen houses are provided in this file in the data tap.
Using the sample data, generate 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 constructed interval
estimate for the real estate agent.

Data on Randomly Selected Houses

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