A confidence interval estimate is desired for the gain  in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 20. (a) Find a 95% CI for m when n = 10 and x = 1000. (b) Find a 95% CI for m when n = 25 and x = 1000. (c) Find a 99% CI for m when n = 10 and x = 1000. (d) Find a 99% CI for m when n = 25 and x = 1000. (e) How does the length of the CIs computed change with the  changes in sample size and confidence level?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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A confidence interval estimate is desired for the gain 
in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 20.
(a) Find a 95% CI for m when n = 10 and x = 1000.
(b) Find a 95% CI for m when n = 25 and x = 1000.
(c) Find a 99% CI for m when n = 10 and x = 1000.
(d) Find a 99% CI for m when n = 25 and x = 1000.
(e) How does the length of the CIs computed change with the 
changes in sample size and confidence level?

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