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?

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Author:Amos Gilat
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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.

  1. One sample has n 5 6 scores with SS 5 70 and the second sample has n 5 10 scores with SS 5 140.

  2. One sample has n 5 6 scores with SS 5 310 and the

    second sample has n 5 10 scores with SS 5 530.

  3. 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?

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