Question

If all other factors are held constant, which of the following would produce the smallest width...

If all other factors are held constant, which of the following would produce the smallest width for a confidence interval for μ?

a. 96% confidence interval based on a sample of n = 25

b. 85% confidence interval based on a sample of n = 49    

c. 85% confidence interval based on a sample of n = 25

d. Cannot be determined without additional information.

96% confidence interval based on a sample of n = 49

Homework Answers

Answer #1

We know that the % confidence interval for population mean is given by:

Width of the interval =

a) Width of the interval =

b) Width of the interval =

c) Width of the interval =

e) Width of the interval =

So, the width for part (b) is minimum.

Hence 2nd option is the correct option.

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