Question: Refer to Exercise 13.5. a. Confirm that in each case the number of degrees of freedom for the equal-variances test statistic and confidence interval estimator

Refer to Exercise 13.5.
a. Confirm that in each case the number of degrees of freedom for the equal-variances test statistic and confidence interval estimator is larger than that for the unequal-variances test statistic and confidence interval estimator.
b. Try various combinations of sample sizes and sample variances to illustrate that the number of degrees of freedom for the equal-variances test statistic and confidence interval estimator is larger than that for the unequal-variances test statistic and confidence interval estimator.

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