Answered: The random sample shown below was…

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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Related questions

Question

100%

The random sample shown below was selected from a normal distribution.

10, 8, 5, 4, 7, 2

Complete parts a and b.

a. Construct a

90%

confidence interval for the population mean

μ.

enter your response here,enter your response here

(Round to two decimal places as needed.)

b. Assume that sample mean

and sample standard deviations
remain exactly the same as those you just calculated but that are based on a sample of

n=25

observations. Repeat part a. What is the effect of increasing the sample size on the width of the confidence intervals?

The confidence interval is

enter your response here,enter your response here.

(Round to two decimal places as needed.)

What is the effect of the sample size on the width of the confidence interval?

As the sample size increases, the width decreases.

As the sample size increases, the width stays the same.

As the sample size increases, the width increases.

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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