# Suppose xn(a) Describe the distribution. has an unknown distribution

Suppose xn(a) Describe the distribution. has an unknown distribution. has a binomial distribution.

has a distribution with a mean of 40 and a standard deviation of 21. Random samples of size = 36 are drawn.

has an approximately normal distribution.

has a normal distribution.

has a Poisson 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 the z value corresponding to = 47. (Enter an exact number.)

z =

(c) Find P( < 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 size 36 from the x distribution to have a sample mean less than 47? Explain.

Yes, it would be unusual because more than 5% of all such samples have means less than 47.

No, it would not 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.

No, it would not be unusual because less than 5% of all such samples have means less than 47.

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