Introduction To Statistics And Data Analysis

6th Edition

ISBN: 9781337793612

Author: PECK, Roxy.

Publisher: Cengage Learning,

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Textbook Question

Chapter 9.3, Problem 47E

The article “The Association Between Television Viewing and Irregular Sleep Schedules Among Children Less Than 3 Years of Age” (Pediatrics [2005]: 851–856) reported the accompanying 95% confidence intervals for average TV viewing time (in hours per day) for three different age groups.

Chapter 9.3, Problem 47E, The article The Association Between Television Viewing and Irregular Sleep Schedules Among Children

a. Suppose that the sample sizes for each of the three age group samples were equal. Based on the given confidence intervals, which of the age group samples had the greatest variability in TV viewing time? Explain your choice. (Hint: Consider the formula for the confidence interval.)
b. Now suppose that the sample standard deviations for the three age group samples were equal, but that the three sample sizes might have been different. Which of the three age-group samples had the largest sample size? Explain your choice.
c. The interval (0.768, 1.032) is either a 90% confidence interval or a 99% confidence interval for the mean TV viewing time calculated using the sample data for children less than 12 months old. Is the confidence level for this interval 90% or 99%? Explain your choice.

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Chapter 9 Solutions

Introduction To Statistics And Data Analysis

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Solution Summary: The author identifies the age groups with the greatest variability in TV viewing time. The confidence interval will be wider for those intervals having wider variability for samples of equal sizes.

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Chapter 9 Solutions