Show your work AND explain your reasoning using complete English sentences. Expl

Question

Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem 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. [2 pts] 10% of men are taller than which height? Round your answer to 1 decimal place. b. 12 pts]Find the percentage of men that are 6'0" or taller. Round your final c. [1 pts]How does the approximate percentage for the height of men 6'0" or d. [1 pts]Based on your normal distribution calculation from part (b), answer to 2 decimal places. taller (from the normal distribution) compare with the actual percentage of baseball players 6'0" or taller (from Problem 1)? approximately how many Major League Baseball players would you expect to be 6'0" or taller? Round your answer to the nearest whole number.

Explanation / Answer

a)

for top 10 percentile ; critical z =1.28

therefore corresponding value =mean+z*Std deviaiton=69.7+1.28*2.9=73.4 inch

b)

as for normal distribution z score =(X-mean)/std deviation

also as 6'o" =72 inch

therefore P(X>72)=1-P(X<72)=1-P(Z<(72-69.7)/2.9)=1-P(Z<0.79)=1-0.7852 =0.2148

c)

for comparison please provide details of problem 1

d)

for total number of people having height greater than 6'0" = np =n*0.2148

(where n might be given in problem 1 as total number of Basketball players)

( please revert for any clariifcation required)

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