After examining a child at his 2-year checkup, the boy\'s pediatrician said that
ID: 3064380 • Letter: A
Question
After examining a child at his 2-year checkup, the boy's pediatrician said that the z-score for his height relative to other 2-year-olds in the country was
negative 1.62 The pediatrician explains to the parents that the most extreme 5% of cases often require special treatment or attention.
After examining a child at his 2-year checkup, the boy's pediatrician said that the z-score for his height relative to other 2-year-olds in the country was -1.62. The pediatrician explains to the parents that the most extreme 5% of cases often require special treatment or attention a) Does this child fall into that group? b) What do you need to assume about the heights of 2-year-olds to find your answer to part a? a) The child b) Choose all that apply. into this group because he isthanstandard deviations from the mean. A. the number of heights is very large B. the distribution of heights is unimodal C. the distribution of heights is skewed D. the heights are independent E. the distribution of heights is symmetricExplanation / Answer
Answer to the question is as follows:
a. The most extreme 5% of cases mean a Z value of +/- 1.96
The child has a score of -1.62 which means that he doesn't lie in the extreme region as his Z is more between
-1.96 and 1.96
The child is not into this group because he is less than 1.96 deviations from the mean
b. Options right:
A - the number of height is large ( (Correct)
B - distribution of heights is unimodal (Correct, z distribution always has a single bell/mode)
C - no it isn't, its a normal distribution ( Incorrect)
D - the heights are independent (Incorrect. They aren't independent, if a variable follows some distribution then that variable is not independent, it is dependent)
R - distribution is symmetrical (Correct)
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