SOLUTION: This is for Biostatistics Among coffee drinkers, men drink a mean of 3.2 cuops per day with a standard deviaiton of 0.8 cups. Assume thenumber of cups per day follows a norma

Algebra ->  Probability-and-statistics -> SOLUTION: This is for Biostatistics Among coffee drinkers, men drink a mean of 3.2 cuops per day with a standard deviaiton of 0.8 cups. Assume thenumber of cups per day follows a norma      Log On


   



Question 226584: This is for Biostatistics
Among coffee drinkers, men drink a mean of 3.2 cuops per day with a standard deviaiton of 0.8 cups. Assume thenumber of cups per day follows a normal distribution.:
A) What proportion drink 2 cups per day or more?
b) what proportion drink no more than 4 cups per day?
c) If the top 5% if ciffee drinkers are considered "heavy" coffee drinkers, what is the minium number of cups consumed by a heavy coffee drinker?
I need the formulas?

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this is all in a z-score table

A) 2 is 1.2 below 3.2 ___ -1.2/.8 = -1.5 ___ this is the z-score
using the table ___ 5.6% are BELOW 2 cups per day, so 94.4% drink at least 2 cups per day


B) 4 is .8 above 3.2 so the z-score is 1
using the table ___ 84.1% drink no more than 4 cups per day


C) using the table ___ the top 5% have a z-score of 1.645 or above
.8 * 1.645 = 1.32 ___ 3.2 + 1.32 = 4.52
so the top 5% drink at least 4.52 cups per day