Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size
n = 36
are drawn.
(a) Describe the
x distribution
and compute the mean and standard deviation of the distribution.
x
has
an approximately normal
distribution with
mean x =
70
standard deviation x =
3
(b) Find the z value corresponding to
x = 69.5.
z =
(c) Find
P(x < 69.5).
(Round your answer to four decimal places.)
P(x < 69.5) =
