Chapter 13: Q. 13.32 (page 542)
Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are and Determine the degrees of freedom for the statistic.
The degrees of freedom for suchstatistics are
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Denosumab and Osteoporosis. A clinical study was conducted to see whether an antibody called denosumab is effective in the treatment of osteoporosis in postmenopausal women, as reported in the article "Denosumab in Postmenopausal Women with Low Bone Mineral Density (New England Journal of Medicine, Vol. . No. , pp. ) by M. McClung et al. Postmenopausal women with osteoporosis were randomly assigned into groups that received either a placebo a six-month regimen of Denosumab at doses of mg, mg,mg, or mg. The following table provides summary statistics for the body-mass indexes (BMI) of the women in each treatment group.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean BMI for women in the five different treatment groups? Note: For the degrees of freedom in this exercise:
a. Obtain individual normal probability plots and the standard deviation of the samples.
b. Perform a residual analysis.
c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).
d. Use a one-way ANOVA test to decide, at the significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.
e. Interpret your results from part (d)
Daily TV Viewing Time. Nielsen Media Research collects information on daily TV viewing time, in hours, and publishes its findings in Time Spent Viewing. The WeissStats site provides data on daily viewing times of independent simple random samples of men, women, teens, and children.
Consider a curve with
Determine.
Book Prices. The R. R. Bowker Company collects data on book prices and publishes its findings in The Bowker Annual Library and Book Trade Almanac. Independent simple random samples of hardcover books in law, science, medicine, and technology gave the data, in dollars, on the WeissStats site.
a. Obtain individual normal probability plots and the standard deviation of the samples.
b. Perform a residual analysis.
c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).
d. Use a one-way ANOVA test to decide, at the significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.
e. Interpret your results from part (d).
| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| 6 | 9 | 4 | 8 |
| 3 | 5 | 4 | 4 |
| 3 | 7 | 2 | 6 |
| 8 | 2 | ||
| 6 | 3 |
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