Fill in the blanks to summarize your findings in Exercises 1, 2, and 3: a. If the parent population is a normal distribution with a mean m and a standard deviation s, then for any sample size (small or large), the sample mean will have a ____ distribution with a mean of _____ and a standard deviation of ____. b. If the parent population is NOT a normal distribution but with a mean m and a standard deviation s, then for a large sample size,
Fill in the blanks to summarize your findings in Exercises 1, 2, and 3:
a. If the parent population is a
b. If the parent population is NOT a normal distribution but with a mean m and a standard deviation s, then for a large sample size, the sample mean will have approximately a ____ distribution with a mean of ____ and a standard deviation of ____.
The result in 4a is known as the Sampling Distribution of the Sample Mean.
The result in 4b is known as the Central Limit Theorem. You should note that there are several similarities between them. However, make sure you can see and understand the difference between the two results.
c. Fill out the chart below to further summarize your findings regarding the sampling distribution of the sample mean based on the CLT.
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