Suppose x has a distribution with a mean of 50 and a standard deviation of 3
Suppose x has a distribution with a mean of 50 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
—Select—
a normal
an approximately normal
a geometric
a binomial
a Poisson
an unknown
distribution with mean μx =
and standard deviation σx = .
(b) Find the z value corresponding to x = 51.
z =
(c) Find P(x < 51).
(Round your answer to four decimal places.)
P(x < 51) =
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 51? Explain.
No, it would not be unusual because more than 5% of all such samples have means less than 51.
Yes, it would be unusual because less than 5% of all such samples have means less than 51.
No, it would not be unusual because less than 5% of all such samples have means less than 51.
Yes, it would be unusual because more than 5% of all such samples have means less than 51.
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