Suppose x has a distribution with a mean of 70 and a standard deviation of 21. Random samples of size n=36 are drawn.
a. Desribe the x distribution.
x has a normal distribution
x has a binomial distribution
x has a geometric distribution
x has an approximately normal distribution
x has a poisson distribution
x has an unknown distribution
Compute the mean and standard deviation of the distribution. (For each answer, enter a number)
ux =
ox =
(b) Find the z value corresponding to x = 63. (Enter an exact number.)
z =
(c) Find P(x < 63).="" (enter="" a="" number.="" round="" your="" answer="" to="" four="" decimal="">
P(x < 63)="">
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 63? Explain