14.12 To determine whether training in a series of workshops on creative thinking
increases IQ scores, a total of 70 students are randomly divided into treatment and
control groups of 35 each. After two months of training, the sample mean IQ X1 for
the treatment group equals 110, and the sample mean IQ X2 for the control group
equals 108. The estimated standard error equals 1.80.
(a) Using t, test the null hypothesis at the .01 level of significance.
(b) If appropriate (because the null hypothesis has been rejected), estimate the standardized
effect size, construct a 99 percent confidence interval for the true population
mean difference, and interpret these estimates.
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