In the sample of women's heights given in this section, the sample average is y = 65:2 in. and the sample variance is s2= 4.392, or s = 2.1 in.
Use these sample values as estimates of m and s2 in the normal distribution and perform a chi-square goodness of-fit test. Since two parameters are estimated, the degrees of freedom will be k 2 1 2 2. Use the categories 59.5 to 60.5, 60.5 to 61.5, and so on. Expected values can be computed by finding the probability that a height is in such a section and multiplying by the sample size. If necessary, combine categories to prevent the expected values from becoming too small.