Explain in plain language what is meant by "the sampling distribution of the sample mean." (2 marks)

Suppose a population has mean and standard deviation . What are the mean and standard deviation of all sample means, for samples of size n? (2 marks)

Do your answers to question 5 depend on population shape? What about the sample size? ( 2 marks)

There are two different conditions, under which the sampling distribution of the sample mean is approximately normal. What are these conditions? (2 marks)