Question
Suppose x has a distribution with a mean of90and a standard deviation of3. Random samples of size n =36are drawn. (a)Describe thedistribution. has a Poisson
Supposexhas a distribution with a mean of90and a standard deviation of3. Random samples of sizen=36are drawn.
(a)Describe thedistribution.
has a Poisson distribution.
has a binomial distribution.
has a normal distribution.
has an approximately normal distribution.
has an unknown distribution.
has a geometric 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 thezvalue corresponding to=89. (Enter an exact number.)
z=
(c)FindP(<89). (Enter a number. Round your answer to four decimal places.)
P(<89) =
P(x bar < 89)
(d)Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than89? Explain.
Yes, it would be unusual because less than 5% of all such samples have means less than 89.
No, it would not be unusual because less than 5% of all such samples have means less than 89.
No, it would not be unusual because more than 5% of all such samples have means less than 89.
Yes, it would be unusual because more than 5% of all such samples have means less than 89.
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