Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
5th Edition
ISBN: 9781305620711
Author: Roxy Peck, Chris Olsen, Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.5, Problem 64E
Optical fibers are used in telecommunications to transmit light. Suppose current technology allows production of fibers that transmit light about 50 km. Researchers are trying to develop a new type of glass fiber that will increase this distance. In evaluating a new fiber, it is of interest to test H0: μ = 50 versus Ha: μ > 50, with μ denoting the mean transmission distance for the new optical fiber.
- a. Assuming σ = 10 and n = 10, use Appendix Table 5 to approximate β, the probability of a Type II error, for each of the given alternative values of μ for a test with significance level 0.05:
- i. 52
- ii. 55
- iii. 60
- iv. 70
- b. What happens to β in each of the cases in Part (a) if σ is actually larger than 10? Explain your reasoning.
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Chapter 10 Solutions
Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
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