Suppose x has a distribution with a mean of 70 and a standard deviation of 12. Random samples of size

n = 64

are drawn.

(a) Describe the x distribution and compute the mean and standard deviation of the distribution.

x has_____distribution with mean _x = ______and standard deviation _x = ._________

(b) Find the z value corresponding to x = 73.

z =

(c) Find P(x < 73). (Round your answer to four decimal places.)

P(x < 73) =

(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 73? Explain.

No, it would not be unusual because more than 5% of all such samples have means less than 73.

Yes, it would be unusual because less than 5% of all such samples have means less than 73.

No, it would not be unusual because less than 5% of all such samples have means less than 73.

Yes, it would be unusual because more than 5% of all such samples have means less than 73.