Question

In: Statistics and Probability

One sample has n = 13 with SS = 1652, and a second sample has n...

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.

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