SOLUTION: Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, change

Question 1191043: Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. The data showed that the speeds of the fastballs are normally distributed with mean 92.12 mph and standard deviation 2.43 mph.
(d) Finding Values: A baseball fan wishes to identify the fastballs among the fastest 7% of all such pitches. Above what speed must a fastball be in order to be included in the fastest 7%? Round your answer to the nearest 0.1 mph.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z(0.93)=1.476
1.476=(x-92.12)/2.43
3.586=x-92.12
x=95.706 mph or 95.7 mph
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