Chapter 11.2, Problem 25BB

Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 in Appendix B for the 40 heights of females.

Height (cm)	Less than 155.410	155.410–162.005	162.005–168.601	Greater than 168.601
Frequency

1. a. Enter the observed frequencies in the table above.
2. 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.
3. c. Using the probabilities found in part (b), find the expected frequency for each category.
4. 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?