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1. A population has a mean of 200 and a standard deviation of 50. A simple...

1. A population has a mean of 200 and a standard deviation of 50. A simple random sample of size 100 will be taken and the sample mean will be used to estimate the population mean.

a. What is the expected value of the sample mean?

b. What is the standard deviation of the sample mean?

c. Confirm whether the Central Limit Theorem is met and explain it’s significance.

d. Draw the sampling distribution of the sample mean.

e. What does the sampling distribution of the sample mean represent?

Math   Statistics-And-Probability   
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Answer #1

Solution-

Given data,

Population mean = 200

Population standard deviation = 50

Sample size = 100

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