A random variable is normally distributed. It has a mean of 245and a standard deviation of 21. I just need G.
a.)If you take a sample of size 10, can you say what the shapeof the distribution for the sample mean is? Why?
b.) For a sample of size 10, state the mean of the sample meanand the standard deviation of the sample mean.
c.) For a sample of size 10, find the probability that thesample mean is more than 241.
d.) If you take a sample of size 35, can you say what the shapeof the distribution of the sample mean is? Why?
e.) For a sample of size 35, state the mean of the sample meanand the standard deviation of the sample mean.
f.) For a sample of size 35, find the probability that thesample mean is more than 241.
g.) Compare your answers in part c and f. Why is one smallerthan the other?
