Question 8 Write the number that corresponds to the correct answer. Specify the null and the alternative hypotheses. Ho : Hd = 0, H : µa = 0, H1 : Hd> < 0 1. Ho :d 2. 3. 0 > Pri : 'H *0 < Pri : °H 4. 0 < Pri: 'H ´0 > Pri : °H 5. Ho : Hd = 0, HiHd*0

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ISBN:9781119256830
Author:Amos Gilat
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Exercise 2
Many times property value appraisers estimate the value of specific
properties with minor or sometimes major difference. A company that
builds apartment buildings in Athens considers two appraisers, A and
B, who give an estimate of the sale price of their apartments. The
sales department of the company has observed that in most cases
appraiser A gives smaller value estimates of their apartments. The
company would like to know if this is true for estimated values of
apartments of other companies. Let be the appraisal value of an
apartment of other companies by appraiser A. Let *, be the appraisal
value of an apartment of other companies by appraiser B. Also, let
D= X, - X1. The company selected a random sample of apartments of
other companies. Let i be the appraisal value of each apartment in the
sample by appraiser A. Let be the appraisal value of each apartment
in the sample by appraiser B. The measurements and * are in
thousands of euros and are given below. Let d = x2 - 1. At the 5% level
of significance, do these data provide enough evidence to conclude
that the mean estimation of the appraisal values of apartments by
appraiser A is bigger than the mean estimation of the appraisal values
of apartments by appraiser B?
apartment x X2 apartment x x2 apartment x x2
1
176 174
19
155 164
37
201 205
2
164 160
20
190 189
38
155 148
3
153 145
21
187 186
39
162 166
4
184 180
22
207 211
40
198 193
184 178
23
164 164
41
189 184
207 211
24
204 205
42
190 184
7
196 198
25
179 174
43
189 189
163 162
26
193 198
44
149 143
180 186
27
209 209
45
223 223
10
191 196
28
186 187
46
184 180
11
148 141
29
166 162
47
185 189
12
220 217
30
189 180
48
190 188
13
219 211
31
173 177
49
148 140
14
140 144
32
184 178
50
187 184
15
161 162
33
144 139
51
188 187
16
188 183
34
188 190
52
186 187
17
159 160
35
169 165
53
200 197
18
203 216
36
181 183
54
167 170
Question 8 Write the number that corresponds to the correct answer.
Specify the null and the alternative hypotheses.
0 > Pri : 'H ´o = Pri: °H °I
2.
Ho :Hd = 0, H1 :uz > 0
3.
Ho :Hd> 0, H1 :µg < 0
4.
0 < Pri : 'H °o > Pri : °H
5.
Ho :Hd = 0, H1 : µ d
Transcribed Image Text:Exercise 2 Many times property value appraisers estimate the value of specific properties with minor or sometimes major difference. A company that builds apartment buildings in Athens considers two appraisers, A and B, who give an estimate of the sale price of their apartments. The sales department of the company has observed that in most cases appraiser A gives smaller value estimates of their apartments. The company would like to know if this is true for estimated values of apartments of other companies. Let be the appraisal value of an apartment of other companies by appraiser A. Let *, be the appraisal value of an apartment of other companies by appraiser B. Also, let D= X, - X1. The company selected a random sample of apartments of other companies. Let i be the appraisal value of each apartment in the sample by appraiser A. Let be the appraisal value of each apartment in the sample by appraiser B. The measurements and * are in thousands of euros and are given below. Let d = x2 - 1. At the 5% level of significance, do these data provide enough evidence to conclude that the mean estimation of the appraisal values of apartments by appraiser A is bigger than the mean estimation of the appraisal values of apartments by appraiser B? apartment x X2 apartment x x2 apartment x x2 1 176 174 19 155 164 37 201 205 2 164 160 20 190 189 38 155 148 3 153 145 21 187 186 39 162 166 4 184 180 22 207 211 40 198 193 184 178 23 164 164 41 189 184 207 211 24 204 205 42 190 184 7 196 198 25 179 174 43 189 189 163 162 26 193 198 44 149 143 180 186 27 209 209 45 223 223 10 191 196 28 186 187 46 184 180 11 148 141 29 166 162 47 185 189 12 220 217 30 189 180 48 190 188 13 219 211 31 173 177 49 148 140 14 140 144 32 184 178 50 187 184 15 161 162 33 144 139 51 188 187 16 188 183 34 188 190 52 186 187 17 159 160 35 169 165 53 200 197 18 203 216 36 181 183 54 167 170 Question 8 Write the number that corresponds to the correct answer. Specify the null and the alternative hypotheses. 0 > Pri : 'H ´o = Pri: °H °I 2. Ho :Hd = 0, H1 :uz > 0 3. Ho :Hd> 0, H1 :µg < 0 4. 0 < Pri : 'H °o > Pri : °H 5. Ho :Hd = 0, H1 : µ d
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