Statistics - Sampling Methods and Central Limit Theorem

(Please see the attachment)

"Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
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What is the sampling distribution of sample means?
What is the mean of the sampling distribution of sample means?
What is its standard deviation?
How is that standard deviation affected by the sample size?
What does the centrallimittheorem state about that distribution?

A normally distributed population has a mean of 40 and a standard deviation of 12. What does the centrallimittheorem say about the sampling distribution of the mean if samples of size 100 are drawn from this population?

Why is the CentralLimitTheorem so important to the study of sampling distributions?
A. It allows us to disregard the size of the sample selected when the population is not normal
B. It allows us to disregard the shape of the sampling distributions when the size of the population is large
C. It allows us to disregard

Sampling Distribution and the CentralLimitTheorem
Find the probabilities.
a. From National Weather Service records, the annual snowfall in the TopKick Mountains has a mean of 92 inches and a standard deviation ? of 12 inches. If the snowfall from 25 randomly selected years are chosen, what it the probability that the

Explain how the CentralLimitTheorem can help you convince your boss that while you can't get rid of sampling error the results from your statistical work (that is based on sampling) can still be useful. HINT: This is more of a story response (i.e. discussion of theory) than a math response (i.e. numbers and calculations flying

The average balance for customer accounts in The Reserve Fund at the time it was frozen by the Securities Exchange Commission (SEC) was $22,500, with a standard deviation of $7,500. The SEC overseers want to draw a sample of 100 accounts to help assess the impact of the fund's freeze on the account holders. Precisely (that is, u

What is the CentralLimitTheorem? How large should the sample size be if the underlying distribution of the population values are:
a. Normally distributed (discuss).
b. Non-normally distributed. (discuss)
2. What is the difference, if any, between the standard deviation of the sample and the standard error of the mean

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. Wh