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In 1998, the average height of an adult male in South Africa was estimated to be...

In 1998, the average height of an adult male in South Africa was estimated to be 169cm. Assume that this estimate is exact; assume also that the population standard deviation is 10cm. What fraction of samples consisting of 50 adult males from South Africa (selected uniformly at random, and with replacement) will have average height greater than 200cm?

Math   Statistics-And-Probability   
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Answer #1

(OR) FOR BETTER UNDERSTANDING    

ANSWER::

Since sample size is greater than 30, we can use normal approximation. Hence,

P(Average height > 200)

= P(z > (200 - 169)/(10/))

= P(z > 21.92)

= 0.0000

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