When two population means are equal, the estimated standard error for the independent measures t-test provides a measure of how much difference to expect between two sample means. For each of the following situations assume that µ1 = µ2 and calculate how much difference should be expected between the two sample means.
a. one sample has n=8 scores with SS=45 and the 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 sample have greater variability than part a, but the sample sizes are unchanged. how does the larger variability affect the size of the standard error for the sample mean?