a) Using a sample size of 75, construct a 95% confidence interval estimate of the mean birth weight in the Apple County. b) Using a sample size of 75,000, construct a 95% confidence interval estimate of the mean birth weight in the Apple County. c) Which of the preceding confidence intervals is wider? Why?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1.
A study has been conducted to verify the mean of birth weight at Apple County. From the
simple random sample collected, the mean was 3.433 kg and the standard deviation of all
birth weights is 495 g.
a) Using a sample size of 75, construct a 95% confidence interval estimate of the mean
birth weight in the Apple County.
b) Using a sample size of 75,000, construct a 95% confidence interval estimate of the
mean birth weight in the Apple County.
c) Which of the preceding confidence intervals is wider? Why?
Transcribed Image Text:1. A study has been conducted to verify the mean of birth weight at Apple County. From the simple random sample collected, the mean was 3.433 kg and the standard deviation of all birth weights is 495 g. a) Using a sample size of 75, construct a 95% confidence interval estimate of the mean birth weight in the Apple County. b) Using a sample size of 75,000, construct a 95% confidence interval estimate of the mean birth weight in the Apple County. c) Which of the preceding confidence intervals is wider? Why?
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