Question: This problem will give you practice in constructing confidence intervals and in discovering how to reduce their size (without sacrificing confidence). Smaller confidence intervalscapture the

This problem will give you practice in constructing confidence intervals and in discovering how to reduce their size (without sacrificing confidence). Smaller confidence intervalscapture the value of more precisely.

a.How wide is the 95% confidence interval about a population mean when= 4 andN= 4?

b.How much smaller is the 95% confidence interval about a population meanwhenNis increased fourfold to 16 (remains 4)?

Samples, Sampling, Distributions, and Confidence Intervals173

c.Compared to your answer in Parta, how much smaller is the 95% confidenceinterval about a population mean whenNremains 4 and is reduced to 2?

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