SOLUTION: The mean height of women in a country​ (ages 20-​29) is 63.7 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean he

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Question 1121242: The mean height of women in a country​ (ages 20-​29) is 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 standard deviation is 2.92.
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z test since std dev known
z=(x-mean)/sd/sqrt(n)
>(64-63.7)/2.92/sqrt(75)
>0.3*sqrt(75)/2.92
>0.89
That is a probability of 0.1867

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