A random sample is drawn from a population with mean = 60 and standard deviation = 5.0. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 20 and n = 40 normally distributed?

• Yes, both the sample means will have a normal distribution.
• No, both the sample means will not have a normal distribution.
• No, only the sample mean with n = 20 will have a normal distribution.
• No, only the sample mean with n = 40 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 60 and 63 forn = 40. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)