A large state university finds that 82 of a random sample of…

A large state university finds that 82 of a random sample of 200 of its first-year students engage in binge drinking.  Find a 90%  confidence interval for the proportion of all first-year students at the state university who engage in binge drinking.  Also find the margin of error.  Round all of your answers to four decimal places.   90% Confidence Interval:  ( [LL] , [UL] ) Margin of Error:   [E]

A large state university finds that 82 of a random sample of…

A large state university finds that 82 of a random sample of 200 of its first-year students engage in binge drinking.  Find a 95%  confidence interval for the proportion of all first-year students at the state university who engage in binge drinking.  Also find the margin of error.  Round all of your answers to four decimal places.   95% Confidence Interval:  ( [LL] , [UL] ) Margin of Error:   [E]

Assume that female heights are normally distributed with mea…

Assume that female heights are normally distributed with mean  64 inches and standard deviation 3 inches.  For each of the following, express your answer as a decimal rounded to four decimal places. a.)  What is the probability a randomly selected female is taller than 68 inches?     [a]   b.)  What is the probability a randomly selected female is between 63 and 65 inches tall?  [b]   c.)  What height represents the 25th  percentile for female heights? [c]   d.)  What is the probability that a sample of 5 females have a mean height of less than 63 inches? [d]