Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 18RP
Insulin and BMD. I. Ertuğrul et al. conducted a study to determine the association between insulin growth factor 1 (IGF-1) and bone mineral density (BMD) in men over 65 years of age. The researchers published their results in the paper "Relationship Between Insulin-Like Growth Factor 1 and Bone Mineral Density in Men Aged over 65 Years" (Medical Principles and Practice, Vol. 12, pp. 231–236). Forty-one men over 65 years old were enrolled in the study, as was a control group consisting of 20 younger men, ages 19–62 years. On the WeissStats site, we provide data on IGF-1 levels (in ng/mL), based on the results of the study. Use the technology of your choice to do the following.
- a. Obtain normal
probability plots, boxplots, and the standard deviations for the two samples. - b. Based on your results from part (a), which are preferable here, pooled or nonpooled t-procedures? Explain your reasoning.
- c. At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, men over 65 have a lower IGF-1 level than younger men?
- d. Find and interpret a 99% confidence interval for the difference between the mean IGF-1 levels of men over 65 and younger men.
- e. Are your procedures in parts (c) and (d) justified? Explain your answer.
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Chapter 10 Solutions
Introductory Statistics (10th Edition)
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