Answered: Height and weight are two measurements…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Height and weight are two measurements used to track a child's development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for all girls in the reference population were normally distributed with a mean µ = 10.2 kilogram and standard deviation σ = 0.8 kilogram . Calculate the z-scores that correspond to the following weights and interpret them.

a. 11.6 kg

b. 7.9 kg

c. 10.1 kg

Select your answer from one of the following options.

a.

7.9 kg is the most unusual weight among the 3, because it is 2.87 standard deviations below the mean of 10.2 kg.
b.

10.1 kg is the most unusual weight among the 3 because the z-score is the closest to 0.
c.

11.6 kg is the most unusual weight among the 3, because it is the largest.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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