2. A researcher intends to estimate the effect of a drug on the scores of human subjects
performing a task of psychomotor coordination. The members of a random sample of 9
subjects were given the drug prior to testing. The mean score in this group was 9.78, and
the sample variance was 17.64. An independent random sample of 10 subjects was used as
a control group and given a placebo prior to testing. The mean score in this control group
was 15.10, and the sample variance was 27.01. Assuming that the population distributions
are normal with equal variances, find a 90% confidence interval for the difference between
the population mean scores.
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