A random sample is drawn from a population with mean = 66 and standard deviation = 5.5. [You may find it useful to reference the z table.].

a. Is the sampling distribution of the sample mean with n = 16 and n = 36 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 = 16 will have a normal distribution.
• No, only the sample mean with n = 36 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 66 and 68 forn = 36. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)