The mean height of women in a country​ (ages 20−​29) is 63.6 inches.

The mean height of women in a country​ (ages

20−​29)

is

63.6

inches. A random sample of

70

women in this age group is selected. What is the probability that the mean height for the sample is greater than

64

​inches? Assume

σ=2.98.

The probability that the mean height for the sample is greater than

64

inches is

nothing

 

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1 Answer

The sample size is large enough for us to apply the Z test.

Z-score=(64-63.6)/2.98=0.1342.

This corresponds to 0.5534 and is the probability for heights less than 64in.

Therefore, the probability of a height greater than 64=1-0.5534=0.4466 or 44.66%.

by Top Rated User (1.2m points)

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