Listed here are the average LSAT scores for the 1973 entering classes of 15 American law schools.

545 555 558 572 575 576 578 580 594 605 635 651 653 661 666

(LSAT is a national test for prospective lawyers.) The .95 confidence interval for the population μ is (577.1,623.4).

(a) Use a boxplot to verify that there are no outliers.

(b) A boxplot suggests that observations might have been sampled from a skewed distribution. Argue that as a result, the confidence interval for the mean, based on Student’s t, might be inaccurate.