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A random sample of n = 25 observations is taken from a N(µ, σ ) population. A 95% confidence interval for µ was calculated to be (42.16, 57.84). The researcher feels that this interval is too wide. You want to reduce the interval to a width at most 12 units.
a) For a confidence level of 95%, calculate the smallest sample size needed.
b) For a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.
Answers: 1
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A random sample of n = 25 observations is taken from a N(µ, σ ) population. A 95% confidence interva...
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