We have a population with mean of 100 and standard deviation of 28 take repeated samples of size 49 and calculate the mean of each sample to form a sampling distribution Is it a Normal Distribution?

a) T or F The sampling distribution will be normal. Explain your answer.

b) Find the mean and standard deviation of the sampling distribution.

c) We pick one of our samples from the sampling distribution what is the probability that this sample has a mean that is greater than 109 ? Is this a usual or unusual event?

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