Question

# Suppose *x* has a distribution with a mean of 80 and a standard deviation of 51. Random samples of

size *n* = 36 are drawn.

(a) Describe the distribution.

has a normal distribution.

has a binomial distribution.

has a geometric distribution.

has an unknown 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 the *z* value corresponding to = 63. (Enter an exact number.)

*z* =

(c) Find *P*( < 63). (Enter a number. Round your answer to four decimal places.)

*P*( < 63) =

*P*(*x* bar < 63)

(d) Would it be unusual for a random sample of size 36 from the *x* distribution to have a sample mean less than 63? Explain.

No, it would not be unusual because less than 5% of all such samples have means less than 63.

No, it would not be unusual because more than 5% of all such samples have means less than 63.

Yes, it would be unusual because less than 5% of all such samples have means less than 63.

Yes, it would be unusual because more than 5% of all such samples have means less than 63.

#### Top Answer

a. x has an approximately normal distribution. u x =80, x... View the full answer