The mean height of women in a country​ (ages 20−​29)mis 63.7 inches. A random sample of 75 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=2.79.   The probability that the mean height for the sample is greater than 64 inches is _________. ​(Round to four decimal places as​ needed.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The mean height of women in a country​ (ages
20−​29)mis 63.7 inches. A random sample of 75
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=2.79.
 
The probability that the mean height for the sample is greater than 64 inches is _________. ​(Round to four decimal places as​ needed.)
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