Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 9.4, Problem 53E
Olestra is a fat substitute approved by the FDA for use in snack foods. Because there have been anecdotal reports of gastrointestinal problems associated with olestra consumption, a randomized, double-blind, placebo-controlled experiment was carried out to compare olestra potato chips to regular potato chips with respect to GI symptoms (“Gastrointestinal Symptoms Following Consumption of Olestra or Regular Triglyceride Potato Chips,” J. of the Amer. Med. Assoc., 1998: 150–152). Among 529 individuals in the TG control group, 17.6% experienced an adverse GI
a. Carry out a test of hypotheses at the 5% significance level to decide whether the incidence rate of GI problems for those who consume olestra chips according to the experimental regimen differs from the incidence rate for the TG control treatment.
b. If the true percentages for the two treatments were 15% and 20%, respectively, what
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Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. The article “Postoperative Complications in Patients With Obstructive Sleep Apnea Syndrome Undergoing Hip or Knee Replacement: A Case-Control Study” (R. Gupta, J. Parvizi, et al., Mayo Clinic Proceedings, 2001:897–905) reported that in a sample of 427 people 65 and over, 104 of them had sleep apnea. a) Find a 95% confidence interval for the proportion of those 65 and over who have sleep apnea. b) Find a 99% confidence interval for the proportion of those 65 and over who have sleep apnea. c) Find the sample size needed for a 95% confidence interval to specify the proportion to within ±0.03. d) Find the sample size needed for a 99% confidence interval to specify the proportion to within ±0.03.
Calcium and Blood Pressure: Sample data were collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with blood pressure measurements (based on data from “Blood Pressure and Metabolic Effects of Calcium Supplementation in Normotensive White and Black Men,” by Lyle et al., Journal of the American Medical Association, Vol. 257, No. 13). Sample values are listed below. At the 0.05 significance level, test the claim that the two sample groups come from population with the same standard deviation.
Placebo: 124.6 104.8 96.5 116.3 106.1 128.8 107.2 123.1 118.1 108.5 120.4 122.5 113.6
Calcium: 129.1 123.4 102.7 118.1 114.7 120.9 104.4 116.3 109.6 127.7 108.0 124.3 106.6 121.4 113.2…
Olestra is a fat substitute approved by the FDA for use in snack foods. Because there have been anecdotal reports of gastrointestinal problems
associated with olestra consumption, a randomized, double-blind, placebo-controlled experiment was carried out to compare olestra potato
chips to regular potato chips with respect to GI symptoms ("Gastrointestinal Symptoms Following Consumption of Olestra or Regular
Triglyceride Potato Chips," J. of the Amer. Med. Assoc., 1998: 150 152), Among 529 individuals in the control group (no olestra), 17.6%
experienced an adverse GI event, whereas among the 563 individuals in the olestra treatment group, 15.8% experienced such an event.
Compute a 98% confidence interval for the difference between the two true proportions.
How do you classify the problem?
It is a problem in the area of Probability, since the question is about computing a probability.
It is a problem in the area of Descriptive Statistics, since we need to compute the sample means and…
Chapter 9 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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