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In: Statistics and Probability

.A simple random sample of 18 recent birth records at the local hospital was taken. In...

.A simple random sample of 18 recent birth records at the local hospital was taken. In the sample, the average birth weight was 3390 grams with a standard deviation of 179.8 grams. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution.
(a) Find the 99% confidence interval for the mean birth weight of all babies born in this hospital.
(b) How could we reduce the margin of error while keeping the same 99% confidence level?

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