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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 thedistribution....
x7012n64
(a) Describe the distribution.
has a geometric distribution.
has a binomial distribution.
has a Poisson distribution.
has an approximately normal distribution.
has a normal distribution.
has an unknown 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 = 73. (Enter an exact number.)
z =
(c) Find P( < 73). (Enter a number. Round your answer to four decimal places.)
P( < 73) =
P(x bar < 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.
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 more 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.
No, it would not be unusual because less than 5% of all such samples have means less than 73.
