Question: 2) A variable distributes normally in the population with =60 and =18. A- What is the mean of the sampling distribution of the mean for

2) A variable distributes normally in the population with =60 and =18.

A- What is the mean of the sampling distribution of the mean for sample size n=4? What is the mean of the sampling distribution of the mean for sample size n=36?

B- What is the standard error of the sampling distribution of the mean for sample size n=4? What is the standard error of the sampling distribution of the mean for sample size n=36?

C- What is the probability of randomly selecting a sample of n=4 with a mean below 51? What is the probability of randomly selecting a sample of n=36 with a mean below 51?

3) IQ scores distribute normally in the population with a mean of =100 and a standard deviation of =15. A random sample of n=25 was selected from the population.

A- What is the probability that the sample mean was M=106 or more?

B- If the sample mean is the 60th percentile in the sampling distribution, what is the sample mean?

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