Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data”

in Appendix B for the heights of females.

Height (cm) Less than 155.45 155.45 - 162.05 162.05 - 168.65 Greater than 168.65 Frequency

a. Enter the observed frequencies in the table above.

b. Assuming a normal distribution with mean and standard deviation given by the sample mean and standard deviation, use the methods of Chapter 6 to find the probability of a randomly selected height belonging to each class.

c. Using the probabilities found in part (b), find the expected frequency for each category.

d. Use a 0.01 significance level to test the claim that the heights were randomly selected from a normally distributed population. Does the goodness-of-fit test suggest that the data are from a normally distributed population?