Problem Set # 6 (due Friday, 12 April):

Problems 10.5.8, 11.2.2, and:

The file pearson.txt contains data from Karl Pearson's study of heights of fathers and sons. The column labeled Father contains the heights of the fathers. Is it reasonable to assume that these data come from a normal distribution?

For any hypothesis tests, state the hypotheses, the form of the test statistic, the observed value of the test statistic, the $p$-value, and the conclusion you can draw from the test. For goodness-of-fit tests, also report the expected frequencies. Use mathematical notation: do not state R commands.