As noted on page 275, when the two population means are equal, the estimated standard error for the indepen- dent-measures t test provides a measure of how much difference to expect between two sample means. For each of the following situations, assume that m1 5 m2 and calculate how much difference should be expected between the two sample means. One sample has n 5 6 scores with SS 5 70 and the second sample has n 5 10 scores with SS 5 140. One sample has n 5 6 scores with SS 5 310 and the second sample has n 5 10 scores with SS 5 530. In Part b, the samples have larger variability (big- ger SS values) than in Part a, but the sample sizes are unchanged. How does larger variability affect the magnitude of the standard error for the sample mean difference?
As noted on page 275, when the two population means are equal, the estimated standard error for the indepen- dent-measures t test provides a measure of how much difference to expect between two sample means. For each of the following situations, assume that m1 5 m2 and calculate how much difference should be expected between the two sample means.
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One sample has n 5 6 scores with SS 5 70 and the second sample has n 5 10 scores with SS 5 140.
-
One sample has n 5 6 scores with SS 5 310 and the
second sample has n 5 10 scores with SS 5 530.
-
In Part b, the samples have larger variability (big- ger SS values) than in Part a, but the
sample sizes are unchanged. How does larger variability affectthe magnitude of the standard error for the sample mean difference?
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