Question

What are the conditions for using the normal approximation for a sampling distribution of means?

Answer 1

1.Randomization Condition: The sample should be a simple random sample of the population. 2.10% Condition: If sampling has not been made with replacement, then the sample size, n, must be no larger than 10% of the population. 3.Success/Failure Condition: The sample size has to be big enough so that both np and nq are at least 10.
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Answer 2

Explanation:

Conditions for using Normal approximations:

1) It must have two real numbers as normal approximation is defined on these two numbers , these numbers are the mean and standard deviation, which measures the central tendency of the distribution and measures the spread of distribution respectively.

2) Table of standard normal distribution is required to measure normal approximation.

3) It must have a success and a failure event.