Question

Suppose x has a distribution with a mean of 80 and a standard deviation of 9....

Suppose x has a distribution with a mean of 80 and a standard deviation of 9. Random samples of size n = 36 are drawn. Find P(x < 77). Round your answer to four decimal places.

P(x < 77) =

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Answer #1

Solution :

Given that ,

mean = = 80

standard deviation = = 9

n = 36

= = 80

= / n = 9 / 36 = 1.5

P( < 77) = P(( - ) / < (77 - 80) / 1.5 )

= P(z < -2.00)

Using z table

= 0.0228

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