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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Assume that the sample is taken from a large

Chapter 6, Problem 23E

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QUESTION:

Assume that the sample is taken from a large population and the correction factor can be ignored.

Cholesterol ContentThe average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed.

a. If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams.

b. If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams.

Questions & Answers

QUESTION:

Assume that the sample is taken from a large population and the correction factor can be ignored.

Cholesterol ContentThe average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed.

a. If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams.

b. If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams.

ANSWER:

Step 1 of 3

It is given that 215 milligrams is the average cholesterol content in egg and 15 milligrams is the standard deviation.

Also, it is given that the cholesterol content is Normally distributed.

Using this we need to find the required values.

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