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× Chegg Study Guided Souto X ?? c Secure! https:// edugen.wileyplus.com/edugen/l

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Question

× Chegg Study Guided Souto X ?? c Secure! https:// edugen.wileyplus.com/edugen/ltimain.uni Lock, Statistics: Unlocking the Power of Data, 2e PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter P, Section 5, Exercise 160bc Sum18-Assignment 4 Boys Heights Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean ? = 55.5 inches and standard deviation ? Centers for Disease Control and Prevention growth chart at http:/www.cdc.gov/growthcharts/html charts/statage.htm. Chapter P. Section 5 2.7 inches." Chapter P. Section 5. Chapter P. Section 5 hapter P, Sectio Chapter 6, Section 1-D (a) According to this normal distribution, what proportion of 10-year-old boys are between 4 rt 3.5 in and 5 ft 3.5 in tall (between 51.5 inches and 63.5 inches)? Round your answer to four decimal places. the absolute tolerance is +/-0.00 phat- praportion f 41T0( (b) A parent says his 10 year-old son is in the 98th percentile in height. How tall is this boy? a samle meansulo to Round your answer to two decimal places. Review Score Height= inches Review Results by Study Objective the absolute tolerance is +/-0.01 Question Attempts: 0 of 1 used SAVE FOR LATER SUBMIT ANSWER MapleNet

Explanation / Answer

a) here P(51.5<X<63.5)=P((51.5-55.5)/2.7<Z<(63.5-55.5)/2.7)=P(-1.48<Z<2.96)=0.9985-0.0694 =0.929

b)

here for 98th percentile critical z =2.05

hence corresponding height =mean+z*std deviaiton=55.5+2.05*2.7 =61.04 ( please try 61.05 if this comes wrong and revert)