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 ơ = 3.0. a. Compute a 95% CI for µ when n = 25 and a = 58.3. b. Compute a 95% CI for µ when n = 100 and a = 58.3. c. Compute a 99% CI for µ when n = 100 and a = 58.3.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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A CI is desired for the true average stray-load loss u (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 o = 3.0.
a. Compute a 95% CI for µ when n = 25 and T = 58.3.
b. Compute a 95% CI for u when n = 100 and a = 58.3.
c. Compute a 99% CI for µ when n = 100 and a = 58.3.
d. Compute an 82% CI for µ when n = 100 and a = 58.3.
e. How large must n be if the width of the 99% interval for µ is to be 1.0?
Transcribed Image Text:A CI is desired for the true average stray-load loss u (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 o = 3.0. a. Compute a 95% CI for µ when n = 25 and T = 58.3. b. Compute a 95% CI for u when n = 100 and a = 58.3. c. Compute a 99% CI for µ when n = 100 and a = 58.3. d. Compute an 82% CI for µ when n = 100 and a = 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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