Answered: According to a study, the proportion…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a study, the proportion of people who are satisfied with the way things are going in their lives is

0.80.

Suppose that a random sample of

100

people is obtained. Complete parts (a) through (e) below.

Click here to view the standard normal distribution table (page 1).

Click here to view the standard normal distribution table (page 2).

(a) Suppose the random sample of

100

people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.

The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

This is the correct answer.

The response is qualitative because the number of people satisfied can be counted.

The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.

Your answer is not correct.

The response is quantitative because the number of people satisfied can be counted.

(b) Explain why the sample proportion,

is a random variable. What is the source of the variability?

The sample proportion

is a random variable because the value of

represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully.

The sample proportion

is a random variable because the value of

varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

Your answer is correct.

The sample proportion

is a random variable because the value of

represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

The sample proportion

is a random variable because the value of

varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully.

the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.

Since the sample size is

▼

than 5% of the population size and

np(1−p)=nothing≥10,

the distribution of

▼

approximately normal

uniform

skewed right

skewed left

with

μp=nothing

and

σp=nothing.

(Round to three decimal places as needed.)

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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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