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The mean height of women

The mean height of women in a

country​ (ages 20−​29) is 64.2 inches. A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 ​inches? Assume σ=2.89.

The probability that the mean height for the sample is greater than 65 inches is

_____?

​(Round to four decimal places as​ needed.)

 
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