Please review the answered questions, validate, and show what is wrong.

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

a.) For a sample of size 10, state the mean of the sample mean. Answer # a: 245

b.) For a sample of size 10, state the standard deviation of the sample mean (the "standard error of the mean"). Answer # b: 6.641

c.) For a sample of size 35, state the mean of the sample mean. Answer # c: 235

d.) For a sample of size 35, state the standard deviation of the sample mean (the "standard error of the mean"). Answer # d: 3.550

e.) TRUE or FALSE: As sample size increases, standard deviation of the sample mean (the "standard error of the mean") also increases. Answer # e: FALSE