Assignment:
Assume that both samples are independent simple random samples from populations having normal distributions.
Home Size and Selling Price Using the sample data from Data Set 23 in Appendix B, 21 homes with living areas under 2000 ft2 have selling prices with a standard deviation of $32,159.73. There are 19 homes with living areas greater than 2000 ft2 and they have selling prices with a standard deviation of $66,628.50. Use a 0.05 significance level to test the claim of a real estate agent that homes larger than 2000 ft2 have selling prices that vary more than the smaller homes.
Data Set: Home Sales
Homes Sold in Dutchess County, New York
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STATDISK:
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Data set name is Homes.
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Minitab:
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Worksheet name is HOMES.MTW.
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Excel:
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Workbook name is HOMES.XLS.
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TI-83/84 Plus:
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App name is HOMES, and the file names
are the same as for text files.
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Text file names:
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Text file names are HMSP, HMLST, HMLA, HMACR, HMAGE, HMTAX, HMRMS, HMBRS,
HMBTH.
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Selling
Price
(dollars)
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List
Price
(dollars)
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Area
(sq. ft.)
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Acres
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Age
(years)
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Taxes
dollars)
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Rooms
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Bedrooms
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Baths
(full)
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400000
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414000
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2704
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2.27
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27
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4920
|
9
|
3
|
3
|
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370000
|
379000
|
2096
|
0.75
|
21
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4113
|
8
|
4
|
2
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382500
|
389900
|
2737
|
1
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36
|
6072
|
9
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4
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2
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300000
|
299900
|
1800
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0.43
|
34
|
4024
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8
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4
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2
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305000
|
319900
|
1066
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3.6
|
69
|
3562
|
6
|
3
|
2
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320000
|
319900
|
1820
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1.7
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34
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4672
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7
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3
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2
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321000
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328900
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2700
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0.81
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35
|
3645
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8
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3
|
1
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445000
|
450000
|
2316
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2
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19
|
6256
|
9
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4
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2
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377500
|
385000
|
2448
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1.5
|
40
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5469
|
9
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4
|
3
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460000
|
479000
|
3040
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1.09
|
20
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6740
|
10
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4
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2
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|
265000
|
275000
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1500
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1.6
|
39
|
4046
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6
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2
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2
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299000
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299000
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1448
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0.42
|
44
|
3481
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7
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3
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1
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385000
|
379000
|
2400
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0.89
|
33
|
4411
|
9
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4
|
3
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430000
|
435000
|
2200
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4.79
|
6
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5714
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8
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4
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2
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|
214900
|
219900
|
1635
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0.25
|
49
|
2560
|
5
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3
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1
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475000
|
485000
|
2224
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11.58
|
21
|
7885
|
7
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3
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2
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|
280000
|
289000
|
1738
|
0.46
|
49
|
3011
|
8
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3
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2
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457000
|
499900
|
3432
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1.84
|
14
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9809
|
11
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4
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3
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210000
|
224900
|
1175
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0.94
|
64
|
1367
|
7
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3
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1
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272500
|
274900
|
1393
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1.39
|
44
|
2317
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6
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3
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1
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268000
|
275000
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1196
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0.83
|
44
|
3360
|
4
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2
|
1
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|
300000
|
319900
|
1860
|
0.57
|
32
|
4294
|
9
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3
|
2
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|
477000
|
479000
|
3867
|
1.1
|
19
|
9135
|
10
|
4
|
4
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292000
|
294900
|
1800
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0.52
|
47
|
3690
|
8
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2
|
1
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|
379000
|
383900
|
2722
|
1
|
29
|
6283
|
10
|
4
|
3
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|
295000
|
299900
|
2240
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0.9
|
144
|
3286
|
6
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3
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1
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499000
|
499000
|
2174
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5.98
|
62
|
3894
|
6
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3
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2
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292000
|
299000
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1650
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2.93
|
52
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3476
|
7
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3
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1
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|
305000
|
299900
|
2000
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0.33
|
36
|
4146
|
8
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3
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3
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520000
|
529700
|
3350
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1.53
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6
|
8350
|
11
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4
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2
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|
308000
|
320000
|
1776
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0.63
|
42
|
4584
|
8
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4
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2
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316000
|
310000
|
1850
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2
|
25
|
4380
|
7
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3
|
2
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355500
|
362500
|
2600
|
0.44
|
46
|
4009
|
10
|
5
|
2
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|
225000
|
229000
|
1300
|
0.62
|
49
|
3047
|
6
|
3
|
1
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|
270000
|
290000
|
1352
|
0.68
|
24
|
2801
|
6
|
3
|
1
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253000
|
259900
|
1312
|
0.68
|
44
|
4048
|
6
|
2
|
1
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|
310000
|
314900
|
1664
|
1.69
|
53
|
2940
|
6
|
3
|
2
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|
300000
|
309900
|
1700
|
0.83
|
33
|
4281
|
8
|
4
|
2
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|
295000
|
295000
|
1650
|
2.9
|
34
|
4299
|
6
|
2
|
2
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|
478000
|
479000
|
2400
|
2.14
|
6
|
6688
|
8
|
4
|
2
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