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s A rail are quiine width al. The in are quite prel follows approxi ationss that

ID: 3199696 • Letter: S

Question

s A rail are quiine width al. The in are quite prel follows approxi ationss that are milling maution. The specifica the N(0.8750, 0.0012) distribution. allow slot widths between 0.8725 What proportion of slots meet these Body mass index. Your body your weight in kilograms divided by the s height in meters. Many online BMI calcr you to enter weight in pounds and height High BMI is a common but controversial ind ch overweight or obesity. A study by the National et these specifications mass index (BM square of 34 calculators all in inc America Norma ages 20 to 29) is approximately N young men ( with mean 26.8 and standard deviation 5.2,.11 (a) People with BMI less than 18.5 a fied as "underwei to 29 are underweight by this criterion? (b) People with BMI over 30 are often classified as "obese." What percent of men aged 20 to 29 are obe by this criterion? e often classi ght." What percent of men aged 20 Miles per gallon. In its Fuel Economy Guide for 2 model vehicles, the Environmental Protection A gives data on 1160 vehicles. There are a number o utliers mainly hybuid gar alantui

Explanation / Answer

Q34) Body mass index problem

a)

Mean = 26.8

Standard Deviation = 5.2

Z = (X - Mean)/(Standard Deviation) = (18.5-26.8)/5.2 = -1.596

P(Z<-1.596) = 0.0552

Hence the percentage of man which are underweight by this criteria will be 5.52%

b)

Mean = 26.8

Standard Deviation = 5.2

Z = (X - Mean)/(Standard Deviation) = (30-26.8)/5.2 = -1.596

P(Z>0.6153) = 1 - P(Z<0.6153) = 1 - 0.7308 = 0.2692

Hence the percentage of man which are underweight by this criteria will be 26.92%