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A population of values has a normal distribution with=288.4 and=8.9.You intend to draw a random sample of sizen=30 . First calculatez, round it to two

A population of values has a normal distribution with=288.4 and=8.9.You intend to draw a random sample of sizen=30

.

First calculatez, round it to two (2) decimal places, then use the roundedz-score to determine the required probability accurate to four (4) decimal places.

  1. Find the probability that a single randomly selected value is greater than 292.9.

P(x>292.9)=

Find the probability that a sample of sizen=30is randomly selected with a mean greater than 292.9.

  1. P(x>292.9)= ...................

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