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Q-18.
A population has a mean of 200 and a standard deviation of 50. A sample of size 100 will
be taken and the sample mean x will be used to estimate the population mean.
a. What is the expected value of x?
b. What is the standard deviation of x?
c. Show the sampling distribution of x.
d. What does the sampling distribution of x show?
Soln:
a)
Given: