Answered: Height and weight are two measurements…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Height and weight are two measurements used to track a child's development. An organization measures child development by comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in the reference population had a mean ? = 11.8 kg and standard deviation ? = 0.6 kg. Weights are normally distributed.

X ~ N(11.8, 0.6).

Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.)

(a) 12.4 kg

z = _______

A child who weighs 12.4 kg is standard deviation(s) [above/below] the mean of 11.8 kg.

(b) 10.1 kg

z = _______

A child who weighs 10.1 kg is standard deviation(s) [above/below] the mean of 11.8 kg.

z = ________

A child who weighs 13.3 kg is standard deviation(s) [above/below] the mean of 11.8 kg.

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.

Expert Solution