Answered: Test the claim about the difference…

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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1.Test the claim about the difference between two population means

μ1

and

μ2

at the level of significance

α.

Assume the samples are random and independent, and the populations are normally distributed.

Claim:

μ1=μ2;

α=0.01

Population statistics:

σ1=3.5,

σ2=1.3

Sample statistics:

x1=17,

n1=28,

x2=15,

n2=26

Determine the alternative hypothesis.

Ha:

μ1

not equals≠

μ2

Determine the standardized test statistic.

(Round to two decimal places as needed.)

Determine the P-value.

P-value=nothing

(Round to three decimal places as needed.)

What is the proper decision?

Reject

H0.

There is enough evidence at the

level of significance to reject the claim.

Fail to reject

H0.

There is not enough evidence at the

level of significance to reject the claim.

Reject

H0.

There is not enough evidence at the

level of significance to reject the claim.

Fail to reject

H0.

There is enough evidence at the

level of significance to reject the claim.

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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