Answered: he heights of adult men in America are…

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

Concept explainers

Question

he heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches.

aIf a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)?
bz =
c
dIf a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)?
ez =

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

Step 1

Solution:

Let X be the height of adult men in America and Y be the height of adult women in America.

From the given information, X follows normal distribution with mean µ=69.8 inches and standard deviation σ=2.69 inches. Y follows normal distribution with mean µ=64.8 inches and standard deviation σ=2.54 inches.

Step 2

One feet is equal to 12 inches.

Then, the z-score of a man with 6 feet 3 inches tall is

Step by step

Solved in 3 steps with 2 images

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions