For the following data:
|
|
Size |
Mean |
Standard deviation |
|
Sample 1 |
4 |
40 |
8 |
|
Sample 2 |
5 |
50 |
10 |
The sample statistic t follows t-distribution with 'm' degrees of freedom, then m is equal to
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7 **
Given two samples:
Sample 1: $n_1=4,\;\bar{x}_1=40,\;s_1=8$
Sample 2: $n_2=5,\;\bar{x}_2=50,\;s_2=10$
Degrees of freedom for two-sample t-statistic (independent samples, unequal variances) is:
$m = n_1 + n_2 - 2$
$m = 4 + 5 - 2 = 7$
$m = 7$