Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 7.1, Problem 20P
Confidence Intervals: Values of σ A random sample of size 36 is drawn from an x distribution. The sample mean is 100.
- (a) Suppose the x distribution has σ = 30. Compute a 90% confidence interval for μ. What is the value of the margin of error?
- (b) Suppose the x distribution has σ = 20. Compute a 90% confidence interval for μ. What is the value of the margin of error?
- (c) Suppose the x distribution has σ = 10. Compute a 90% confidence interval for μ. What is the value of the margin of error?
- (d) Compare the margins of error for parts (a) through (c). As the standard deviation decreases, does the margin of error decrease?
- (e) Critical Thinking Compare the lengths of the confidence intervals for parts (a) through (c). As the standard deviation decreases, does the length of a 90% confidence interval decrease?
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Chapter 7 Solutions
Understandable Statistics: Concepts and Methods
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