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n only d. 1, II, and II1 63. The heights of the 430 National Basketball Associat

ID: 2948702 • Letter: N

Question

n only d. 1, II, and II1 63. The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005-2006 season. The heights of basketball players have an approximate normal distrbution with mean, y 79 inches and a standard deviation, ? 389 inches. For each of the following heights, calculate the 2 score and interpret It using com lese sentences. cha a. 77 inches b. 85 inches c. If an NBA player reported his height had a z-score of 3.5, would you believe him? Explain your answer. 64. The systolic blood pressure given in millimeters) of males has an approximately normal distrilt on with mean ? Task 7 125 and standard deviation ?-14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressures 100 and 150 milimeters b. If a male friend of yours said he thought his systalic blood pressure was 215 standard but that he believed his blood pressure was betwen 100 and 150 millitmeers whar would you sgy to bhin? DOcX 65. Kyle's doctor told him that the z-score for his systolie blood pressure is 1.75. Which of the following is the bes interpretation of this standardized score? The sysolic blood pressure (given in millmeers) of males bas an approximately normal distribution with mean ?-125 and standard deviation -14. Ir x-asysile blood pressure soeterrms Disscussion 7 14). a. Which answer(s) is/are correct? i. Kyle's systalic blood pressure is 175 ??. Kyle's systolic blood pressure is 1.75 times the average bioodmiarof earn his age ii. Kyle's systalic blood pressare is 1.75 above the average systalic blood presure of men heis ag iv. Kyles's systolic blood pressure is 1.75 sandard deviations abovethe aynage sytoilc blood pressere for T Essi men b. Calculate Kyle's blood pressure. Example Cha

Explanation / Answer

Answer to the Q63 is as follows. Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer.

63.

the params of normal distribution are given by low:
Mean = 79 inches
Sigma = 3.89 inches

a. 77 inches = ?

Z = (X-Mu)/Sigma = (77-79)/3.89 = -0.514

It means that somebody with height 77 inches will lie in the a 30.36% percentiler i.e. will be in the bottom 30.36% of people


b. 85 inches = ?

Z = (X-Mu)/Sigma = (85-79)/3.89 = 1.5424

It means that somebody with height 85 inches will lie in the a 93.85% percentiler i.e. will have 93.85% of peeople will have lesser score than his.

c. No, a score of Z = 3.5 means he lies in top .02% of heights, which is highly impossible and hence I wouldn't beeive him.