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# 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.

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

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