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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Question

Test the claim about the difference between two population means

μ1

and

μ2

at the level of significance

alphaα.

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

Claim:

μ1less than or equals≤μ2;

alphaαequals=0.10

Assume

σ2 1 not equals≠ σ2 2

Sample statistics:	x1 equals=2419, s1equals=176, n1equals=12 and
	x2 equals=2290, s2equals=52, n2 equals=9

Identify the null and alternative hypotheses. Choose the correct answer below.

Upper H0:

μ1less than<μ2

Upper Ha:

μ1greater than or equals≥μ2

Upper H0:

μ1greater than>μ2

Upper Ha:

μ1less than or equals≤μ2

Upper H0:

μ1less than or equals≤μ2

Upper Ha:

μ1greater than>μ2

Upper H0:

μ1not equals≠μ2

Upper HHa:

μ1equals=μ2

Upper H0:

μ1greater than or equals≥μ2

Upper Ha:

μ1less than<μ2

Upper H0:

μ1equals=μ2

Upper Ha:

μ1not equals≠μ2

Find the standardized test statistic t.

t equals=nothing

(Round to two decimal places as needed.)

Find the P-value.

P equals=nothing

(Round to three decimal places as needed.)

Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Reject

Fail to reject

Upper H0.

There

▼

is not

enough evidence at the

10%

level of significance to reject the claim.

Click to select your answer(s).

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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