SOLUTION: A certain diet claims to lower cholesterol by an average of 60 points with a standard deviation of 7. Find the probability that the mean amount lowered will be more than 75 points.

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A certain diet claims to lower cholesterol by an average of 60 points with a standard deviation of 7. Find the probability that the mean amount lowered will be more than 75 points.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 344056: A certain diet claims to lower cholesterol by an average of 60 points with a standard deviation of 7. Find the probability that the mean amount lowered will be more than 75 points.
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z-score.
z=%28x-mu%29%2Fsigma=%2875-60%29%2F7
z=2.14
P%28z%3C=2.14%29=0.983938
P%28z%3E2.14%29=1-P%28z%3C=2.14%29
P%28z%3E2.14%29=1-0.983938
highlight%28P%28x%3E75%29=P%28z%3E2.14%29=0.01606%29