Reference no: EM132463857
Problem: A random valuable 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 x and f. Why is one smaller than the other.
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