Consider the gain estimation problem in Exercise 8-4.(a)

Chapter 8, Problem 7E

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QUESTION:

Consider the gain estimation problem in Exercise 8-4.

(a) How large must n be if the length of the 95% CI is to be 40?

(b) How large must n be if the length of the 99% CI is to be 40?

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QUESTION:

Consider the gain estimation problem in Exercise 8-4.

(a) How large must n be if the length of the 95% CI is to be 40?

(b) How large must n be if the length of the 99% CI is to be 40?

ANSWER:

Step 1 of 2

Given that,

From Exercise 8-4,

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)

It is required to compute n be if the length of the 95% CI is to be 40.

The 95% confidence level implies a 0.05 significance level.

Since the length of the confidence interval is twice the margin of error; therefore,

Therefore, the required sample size is  .

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