Suppose x has a distribution with a mean of 30 and a standard deviation of 4. 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

a. an unknown

b.a geometric

c. an approximately normal

d.a Poisson

e. a binomial

f.a normal

distribution with mean _x =

and standard deviation _x = .

(b) Find the z value corresponding to x = 29.

z =

(c) Find P(x < 29).

(Round your answer to four decimal places.)

P(x < 29) =

(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 29? Explain.

a.Yes, it would be unusual because more than 5% of all such samples have means less than 29.

b.Yes, it would be unusual because less than 5% of all such samples have means less than 29.

c.No, it would not be unusual because more than 5% of all such samples have means less than 29.

d.No, it would not be unusual because less than 5% of all such samples have means less than 29.