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Use Excel to test. For each paired difference, compute After - Before. In the Data Analysis, t-Test:
Paired Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative corresponding to a 1-tailed test with lower reject region and negative lower critical value.
Person Before After
1 176 164
2 192 191
3 185 176
4 177 176
5 196 185
6 178 169
7 196 196
8 181 172
9 158 158
10 201 193
11 191 185
12 193 189
13 176 175
14 212 210
15 177 173
16 183 180
17 210 204
18 198 192
19 157 152
20 213 200
21 161 161
22 177 166
What is the critical t-value?
Select from the following answer
a) 5.614 or -5.614
b) 3.645 or -3.645
c) 1.711 or -1.711
d) 7.861 or -7.861
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