Suppose x has a distribution with a mean of 70 and a standard deviation of 45. Random samples of size n = 36 are drawn. (a)  Describe the  distribution.  has a normal distribution. has a geometric distribution.     has a binomial distribution. has a Poisson distribution. has an unknown distribution. has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)  = mu sub x bar =  = sigma sub x bar = (b)  Find the z value corresponding to  = 85. (Enter an exact number.) z =  (c)  Find P( < 85). (Enter a number. Round your answer to four decimal places.) P( < 85) = P(x bar < 85)

Question

Suppose x has a distribution with a mean of 70 and a standard deviation of 45. Random samples of size n = 36 are drawn.

(a)

 Describe the  distribution.
 has a normal distribution. has a geometric distribution.     has a binomial distribution. has a Poisson distribution. has an unknown distribution. has an approximately normal distribution.
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)

 = mu sub x bar =

 = sigma sub x bar =

(b)

 Find the z value corresponding to  = 85. (Enter an exact number.)
z = 

(c)

 Find P( < 85). (Enter a number. Round your answer to four decimal places.)
P( < 85) = P(x bar < 85)

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