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Directions: Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow...

Directions:

Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem.

1.The mean height of men is 69.7 inches. Assume that the heights of men are normally distributed, with a standard deviation of 2.9 in.

a. 10% of men are taller than which height? Round your answer to 1 decimal place.

b. Find the percentage of men that are 6’0” or taller. Round your final answer to 2 decimal places.

c. How does the approximate percentage for the height of men 6’0” or taller (from the normal distribution) compare with the actual percentage of baseball players 6’0” or taller (from Problem 1)?

d. Based on your normal distribution calculation from part (b), approximately how many Major League Baseball players would you expect to be 6’0” or taller? Round your answer to the nearest whole number.

math   Statistics-And-Probability   
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Answer #1

Guen Dah The mean helgt of men6ch ec. Standa vd devatio) 있.qm (a) The cut-off p๕๕ f height -Rx uppeY10% beights zfoY upper 10% ^ 1.281Ss-> xing-Z-table The peceatage of men +bad ase 6o (or) tatle z Cx-mean) SD Z: ( 2-677) 0 . 커 3103 0,986141 1-0.864) o. 213859Repoved Percentage=21.39% The appimde P Acual pexcentoge of baseball playexs o (ov)tallex Ps 63.34% Oppvatm 4som mal dtPuon s vexy leis than Actual pexcuntage of boseball playesbo) tallexr. 2(39 Total o of play exs16933 Gapeted playexs havfrg hegbt 6o lox) taller = 16733 x จ.2139 3621 .169

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