Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for

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Using All 1991 Birth Records In The Computerized National Birth Certificate Registry Compiled By The National Center For 1 (61.34 KiB) Viewed 50 times

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Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are bables normal?" The American Statisticion. Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37−43 weeks and infants bom to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ=3432 g and standard deviation σ=482 g. The following questions refer to infants bom from 37+ to 43 weeks whose mothers did not have a history of diabetes. Compute the z-score of an infant who weighs 3620 g. (Round your answer to two decimal places.) Approximately what fraction of infants would you expect to have birth weights between 2940 g and 4720 g ? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of infants would you expect to have birth weights below 2940 g? (Express your answer as a decimal, not a percent, and round to three decimal places.) A medical researcher wishes to study infants with high birth weights and seeks infants with birth weights among the heaviest 110 . Above what weight must an infant's birth weight be in order for the infant be included in the study? (Round your answer to the nearest gnim.)
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 pirchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow. a Normal model with mean μ=92.12mph and a standard deviation of σ=2.43mph. Compute the z-score of pitch with speed 89.8mph. (Round your ariswer to two decimal places.)
Compute the z-5core of pitch with speed 89.8mph. (Round your answer to two decimal places.) Approximately what fraction of these four-seam fastballs would you expect to have speeds berween 89.2mph and 93mph ? (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 aboye 93 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) A baseball fan wishes to identify the four-seam fastballs among the slowest 17% of all such pitches. Below what: speed must a four-seam fastball be in order to be included in the slowest 1796 ? (Round your answer to the nearest 0.1mph )