In: Statistics and Probability
One sample has n = 13 with SS = 1652, and a second sample has n = 11 with SS = 1706.
(a) Find the pooled variance for the two samples. (Use 3 decimal
places.)
(b) Compute the estimated standard error for the sample mean
difference. (Use 3 decimal places.)
(c) If the sample mean difference (M1 -
M2) is 10 points, is this enough to reject the
null hypothesis and conclude that there is a significant difference
for a two-tailed test at the 0.05 level? (Use 3 decimal
places.)
t-critical = ± | |
t = |
Fail to reject the null hypothesis, there is a significant mean difference.
Fail to reject the null hypothesis, there is not a significant mean difference.
Reject the null hypothesis, there is not a significant mean difference.
Reject the null hypothesis, there is a significant mean difference.