Question: Assume that the population of heights of female college students is approximately normally distributed with mean \(\mu \) of 67.26 inches and standard deviation \(\sigma \) of 5.96 inches. A random sample of 78 heights is obtained.  Show all work.

1. 
   Find P( x > 67.50)
   (B)  Find the mean and standard error of the distribution
   (C)  Find P( \[\bar{x}\] > 67.50)
   (D)  Why is the formula required to solve (A) different than (C)?
   

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