Question

Assume that the heights of men are normally distributed with a mean of 69.3 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 70.3 inches.

Answer #1

Solution :

Given that ,

mean = = 69.3

standard deviation = = 3.5

= / n = 3.5 / 100 = 0.35

P( > 70.3) = 1 - P( < 70.3)

= 1 - P[( - ) / < (70.3-69.3) /0.35 ]

= 1 - P(z < 2.86)

= 1 - 0.9979 = 0.0021,**Probability = 0.0021**

15. Assume that the heights of men are normally distributed with
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The heights of adult men in America are normally distributed,
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The heights of adult women in America are also normally
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a) If a man is 6 feet 3 inches tall, what is his z-score (to two
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z =
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