In: Statistics and Probability
data sets A and B are depwndent. fondthr critical value to test the claim, M=0. use alpha= .02.
A. 6.2.
7.4. 9.3.
6.3. 6.4
B. 3.6.
2.5. 3.4.
2.3. 3.7
Paired t test for dependent means:
Before (A) | After (B) | Diff (Af-Bef) |
6.2 | 3.6 | -2.6 |
7.4 | 2.5 | -4.9 |
9.3 | 3.4 | -5.9 |
6.3 | 2.3 | -4 |
6.4 | 3.7 | -2.7 |
35.6 | 15.5 | -20.1 |
Mean of difference = sum of all terms / no of terms = -20.1 / 5 = -4.02
standard deviation = SD
data | data-mean | (data - mean)2 |
-2.6 | 1.42 | 2.0164 |
-4.9 | -0.88 | 0.7744 |
-5.9 | -1.88 | 3.5344 |
-4 | 0.02 | 0.00039999999999998 |
-2.7 | 1.32 | 1.7424 |
t stat = -6.329
t critical value for two tailed test = +/- 3.7469473
9 |