# Sample mean probabilities with the central limit theorem

Not what you're looking for?

Survey of 1976-80 found that the mean serum cholesterol level for U.S. males aged 20-74 years was 211. The standard deviation was approximately 90. Consider the sampling distribution of the sample mean based on samples of size 100 drawn from this population of males.

1. What are the mean of the sampling distribution?

2. What is the standard deviation of the sampling distribution?

3. Is it necessary for the original distribution to be normal? Explain this answer.

4. Suppose a random sample of 100 is taken, what is the probability that the mean serum cholesterol level will be between 198 and 220?

##### Purchase this Solution

##### Solution Summary

This solution finds probabilities related to a sample mean by applying the central limit theorem.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.