Answered: A random sample of 400 married couples…

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

Practice Pack

A random sample of 400 married couples was selected from a large population of married couples.

•Heights of married men are approximately normally distributed with mean 70 inches and standard deviation 3 inches.

•Heights of married women are approximately normally distributed with mean 65 inches and standard deviation 2.5 inches.

•There were 20 couples in which the wife was taller than her husband,and there were 380 couples in which the wife was shorter than her husband.

(a)Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.

b)Suppose that a married man is selected at random and a married woman is selected at random. Find the approximate probability that the woman will be taller than the man.

(c) Based on your answers to (a) and (b), are the heights of wives and their husbands independent?Explain your reasoning.

(d) A scatterplot (not shown) of husband's height versus wife's height for the 400 couples in the sample shows
an approximately linear relationship with correlation 0.4. On the graph below, sketch an ellipse that could
enclose the points on the scatterplot. Be sure to
• label your axes, and
• locate and orient your ellipse correctly with respect to the two axes and the line y = x.
Include any
information that you think will be helpful in clarifying your sketch.
100
90
80
70
60
50
40
40
50
60
70
80
90
100
X = A

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

Trending now

This is a popular solution!

Learn your way

Includes step-by-step video

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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