A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57.2 grams. If the masses of eggs for this breed of hen are normally distributed with standard deviation 1.5 grams, estimate the mean mass, to the nearest tenth of a gram, of the eggs for this breed using a 99% confidence interval. (Recall the following Z-scores for each level of confidence: 90% = 1.645, 95% = 1.960, and 99% = 2.575.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be
57.2 grams. If the masses of eggs for this breed of hen are normnally distributed with
standard deviation 1.5 grams, estimate the mean mass, to the nearest tenth of a
of the eggs for this breed using a 99% confidence interval. (Recall the following
Z-scores for each level of confidence: 90% = 1.645, 95% = 1.960, and 99% =
gram,
2.575.)
Transcribed Image Text:A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57.2 grams. If the masses of eggs for this breed of hen are normnally distributed with standard deviation 1.5 grams, estimate the mean mass, to the nearest tenth of a of the eggs for this breed using a 99% confidence interval. (Recall the following Z-scores for each level of confidence: 90% = 1.645, 95% = 1.960, and 99% = gram, 2.575.)
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