Instruction: Please answer the following problem with the given reference and provide the solution. Problem 1: Is there a significant difference in the daily allowances of the students in the 2 groups? Econ PolSci 1 200 150 2 85 80 3 175 75 4 65 134 5 131 63 6 135 186 7 162 150 8 147 159 9 80 138 10 92 181 11 96 69 12 175 89 13 72 90 14 151 103 15 152 81 16 145 71 17 130 149 18 179 73 19 79 84 20 55 105 21 153 169 22 171 72 23 121 104 24 191 124 25 120 112 26 145 131 27 158 139 28 191 160 29 184 160 30 132 186 31 82 128 32 58 93 33 75 195 34 58 192
Instruction: Please answer the following problem with the given reference and provide the solution.
Problem 1:
Is there a significant difference in the daily allowances of the students in the 2 groups?
| Econ | PolSci | |
| 1 | 200 | 150 |
| 2 | 85 | 80 |
| 3 | 175 | 75 |
| 4 | 65 | 134 |
| 5 | 131 | 63 |
| 6 | 135 | 186 |
| 7 | 162 | 150 |
| 8 | 147 | 159 |
| 9 | 80 | 138 |
| 10 | 92 | 181 |
| 11 | 96 | 69 |
| 12 | 175 | 89 |
| 13 | 72 | 90 |
| 14 | 151 | 103 |
| 15 | 152 | 81 |
| 16 | 145 | 71 |
| 17 | 130 | 149 |
| 18 | 179 | 73 |
| 19 | 79 | 84 |
| 20 | 55 | 105 |
| 21 | 153 | 169 |
| 22 | 171 | 72 |
| 23 | 121 | 104 |
| 24 | 191 | 124 |
| 25 | 120 | 112 |
| 26 | 145 | 131 |
| 27 | 158 | 139 |
| 28 | 191 | 160 |
| 29 | 184 | 160 |
| 30 | 132 | 186 |
| 31 | 82 | 128 |
| 32 | 58 | 93 |
| 33 | 75 | 195 |
| 34 | 58 | 192 |
Reference:
Is there a significant difference in the daily allowances of the students in the 2 groups?
|
Econ |
PolSci |
|
|
1 |
199 |
156 |
|
2 |
85 |
80 |
|
3 |
174 |
71 |
|
4 |
65 |
134 |
|
5 |
131 |
63 |
|
6 |
135 |
186 |
|
7 |
162 |
150 |
|
8 |
147 |
159 |
|
9 |
80 |
138 |
|
10 |
92 |
181 |
|
11 |
96 |
69 |
|
12 |
175 |
89 |
|
13 |
72 |
90 |
|
14 |
151 |
103 |
|
15 |
152 |
81 |
|
16 |
145 |
71 |
|
17 |
130 |
149 |
|
18 |
179 |
73 |
|
19 |
79 |
84 |
|
20 |
55 |
105 |
|
21 |
153 |
169 |
|
22 |
171 |
72 |
|
23 |
121 |
104 |
|
24 |
191 |
124 |
|
25 |
120 |
112 |
|
26 |
145 |
131 |
|
27 |
158 |
139 |
|
28 |
191 |
160 |
|
29 |
184 |
160 |
|
30 |
132 |
186 |
|
31 |
82 |
128 |
|
32 |
58 |
93 |
|
33 |
75 |
195 |
|
34 |
58 |
192 |
|
35 |
115 |
90 |
|
36 |
170 |
150 |
|
37 |
166 |
68 |
|
38 |
176 |
177 |
|
39 |
162 |
88 |
|
40 |
100 |
122 |
|
41 |
96 |
178 |
|
42 |
127 |
169 |
|
43 |
156 |
129 |
|
44 |
107 |
189 |
|
45 |
198 |
118 |
|
46 |
146 |
181 |
|
47 |
159 |
150 |
|
48 |
159 |
192 |
|
49 |
52 |
50 |
|
50 |
109 |
154 |
|
|
||
|
Var= |
1808.069 |
1826.7331 |
z-Test: Two-Sample for Means
|
|
Econ |
PolSci |
|
Mean |
130.82 |
128.04 |
|
Known Variance |
1808.069 |
1826.773 |
|
Observations |
50 |
50 |
|
Hypothesized Mean Difference |
0 |
|
|
z |
0.32605212 |
|
|
P(Z<=z) one-tail |
0.37219246 |
|
|
z Critical one-tail |
1.64485363 |
|
|
P(Z<=z) two-tail |
0.74438492 |
|
|
z Critical two-tail |
1.95996398 |
|
Not Significant
Daily allowances of the two groups have no significant difference.
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