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

a.Is the sampling distribution of the sample mean withn= 16 andn= 36 normally distributed?

1. Yes, both the sample means will have a normal distribution.
2. No, both the sample means will not have a normal distribution.
3. No, only the sample mean withn= 16 will have a normal distribution.
4. No, only the sample mean withn= 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.)