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Suppose that a population is known to be normally distributed with =2,300 and =2

ID: 3337664 • Letter: S

Question

Suppose that a population is known to be normally distributed with =2,300 and =260.

If a random sample of size n=8 is selected, calculate the probability that the sample mean will exceed 2,400.

P(x >2,400)equals=_______ (Round to four decimal places as needed.)

Suppose that a population is known to be normally distributed with =2,300 and =260.

If a random sample of size n=8 is selected, calculate the probability that the sample mean will exceed 2,400.

P(x >2,400)equals=_______ (Round to four decimal places as needed.)

Explanation / Answer

P(x >2,400)

Mean = 2300

=260

z = (2400 - 2300)/260/8

z = 1.09

P( z > 1.09) = 0.1379

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