A survey of a college freshman class has determined that the mean height of females in the class is 64 inches with a standard deviation of 3.8 inches.   Assuming the data can be modeled by a normal probability density function, find a model for these data. f(x)=   Find the derivative of the model. f'(x)=   Show that  f ' > 0 for x < ? and f ' < 0 for x > ?.  (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at  x = ? = 64  and is defined for all real numbers. For  x < ? = 64, let x = 63.  Then  f '(63) =   Then for  x > ? = 64, let x = 63.  Then  f '(65)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.