Suppose x has a distribution with a mean of40and a standard deviation of21. Random samples of size
Question:
Supposexhas a distribution with a mean of40and a standard deviation of21. Random samples of sizen=36are drawn.
(a)Describe thedistribution.
has a normal distribution.
has a geometric distribution.
has an unknown distribution.
has a binomial distribution.
has an approximately normal distribution.
has a Poisson 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=47. (Enter an exact number.)
z=
(c)FindP(<47). (Enter a number. Round your answer to four decimal places.)
P(<47) =
P(x bar < 47)
(d)Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than47? Explain.
No, it would not be unusual because more than 5% of all such samples have means less than 47.
No, it would not be unusual because less than 5% of all such samples have means less than 47.
Yes, it would be unusual because more than 5% of all such samples have means less than 47.
Yes, it would be unusual because less than 5% of all such samples have means less than 47.
Expert Answer:
