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Shape of the distribution for the sample mean

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A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21.

a.) If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why?

b.) For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean.

c.) For a sample of size 10, find the probability that the sample mean is more than 241.

d.) If you take a sample of size 35, can you say what the shape of the distribution of the sample mean is? Why?

e.) For a sample of size 35, state the mean of the sample mean and the standard deviation of the sample mean.

f.) For a sample of size 35, find the probability that the sample mean is more than 241.

g.) Compare your answers in part c and f. Why is one smaller than the other?

Reference no: EM132855995

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