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a)     If we randomly draw one student

out of school district, what is probability of that child having a BMI that is either in the highest 5% or the lowest 5% of the distribution?

b)     If the BMI distribution is converted into a Z distribution, what would be the upper critical Z value and the lower critical Z value that mark the two extremes?

c)     If Charlotte's BMI is converted into a Z score of -1.35, what is the probability of drawing a student out of the school district that has a Z score that is equal or lower than Charlotte's Z score?

d)     If the school district has a total of 20,000 students (which means the whole distribution contains 20,000 BMI scores), how many of them would have a BMI that is equal to or lower than Charlotte's BMI? (1 pt for formula/work, 1 pt for answer)

e)     If the school district sets the higher and lower cut-off points at Z values of +1.75 and

-1.75, will the school nurse have more students or fewer students to follow up with, compared to the original cut-offs of 5% at either extreme of the distribution? (1 pt for answer, 1 pt for rationale/calculation)


Top Answer

a) each 0.05 b) z1= - 1.645, z2 =... View the full answer


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