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In Exercise, use the Central Limit Theorem to find the
Chapter , Problem 54E(choose chapter or problem)
Problem 54E
In Exercise, use the Central Limit Theorem to find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.
The annual per capita consumption of red meat by people in the United States is normally distributed, with a mean of 107.9 pounds and a standard deviation of 35.1 pounds. Random samples of size 40 are drawn from this population, and the mean of each sample is determined.
Questions & Answers
QUESTION:
Problem 54E
In Exercise, use the Central Limit Theorem to find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.
The annual per capita consumption of red meat by people in the United States is normally distributed, with a mean of 107.9 pounds and a standard deviation of 35.1 pounds. Random samples of size 40 are drawn from this population, and the mean of each sample is determined.
ANSWER:
Solution:
Step 1 of 2:
Given, we have the mean of 107.9 pounds and standard deviation of 35.1 pounds.
A sample of 40 is drawn from the population and the mean of each sample is determined.
The claim is to find the mean and standard deviation of indicated sampling distribution of sample means by using the central limit theorem.