Question 12 Major League Baseball Now Records Information About Every Pitch Thrown In Every Game Of Every Season St 1 (107.24 KiB) Viewed 25 times
Question 12 Major League Baseball Now Records Information About Every Pitch Thrown In Every Game Of Every Season St 2 (171.41 KiB) Viewed 25 times
Question 12 < > Major League Baseball now records information about every pitch thrown in every game of every season. 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. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean p = 92.12 mph and a standard deviation of o = 2.43 mph. a 4000 2006 courts 2000 0001 B5 90 95 100 speed (mph)
Compute the z-score of pitch with speed 86.1 mph. (Round your answer to two decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds between 86.6 mph and 95.2 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds below 86.6 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) 7 A baseball fan wishes to identify the four-seam fastballs among the fastest 20% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 20%? (Round your answer to the nearest tenth mph. In other words, round to 1 decimal place.) a mph
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