# Calculate the difference to be expected between two sample m

As noted on page 281, when the population means are equal, the estimate standard error for the independent - measures t test provides a measure of how much to expect between two sample means. For each of the following situations assume m1=m2 and calculate how much difference should be expected between the two sample means.

A: One sample has N=8 scores with SS=45 and a second sample has n=4 scores with SS=15.

B: One sample has n=8 scores with SS =150 and the second sample has n=4 scores with SS=90

C: In part b, the samples have a larger variability( Bigger SS value 0 THAN IN PART A, BUT THE SAMPLE SIZES ARE UNCHANGED. HOW DOES LARGER VARIABILITY AFFECT THE SIZE OF THE STANDARD ERROR FOR THE SAMPLE MEAN DIFFERENCE.

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#### Solution Preview

(A) s1 = sqrt(SS1/n1) = sqrt(45/7) = 2.5355

s2 = sqrt(SS2/n2) = sqrt(15/3) = 2.2361

Pooled SD, s = sqrt [{(n1 - 1) s1^2 + (n2 - 1) ...

#### Solution Summary

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