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A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 3.0. a. Compute a 95% CI for μ when n = 25 and x ¯ = 58.3. b. Compute a 95% CI for μ when n = 100 and x ¯ = 58.3. c. Compute a 99% CI for μ when n = 100 and x ¯ = 58.3. d. Compute an 82% CI for μ when n = 100 and x ¯ = 58.3. e. How large must n be if the width of the 99% interval for μ is to be 1.0?

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Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809
BuyFind

Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

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Chapter
Section
Chapter 7.1, Problem 4E
Textbook Problem

A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 3.0.

  1. a. Compute a 95% CI for μ when n = 25 and x ¯ = 58.3.
  2. b. Compute a 95% CI for μ when n = 100 and x ¯ = 58.3.
  3. c. Compute a 99% CI for μ when n = 100 and x ¯ = 58.3.
  4. d. Compute an 82% CI for μ when n = 100 and x ¯ = 58.3.
  5. e. How large must n be if the width of the 99% interval for μ is to be 1.0?

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Chapter 7 Solutions

Probability and Statistics for Engineering and the Sciences
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