Answered: The following data are from an…

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

The following data are from an experiment comparing two treatment conditions. Do these data indicate a significant difference between the treatment at the levels of .05 level of significance.

Treatment 1	Treatment 2
13	9
9	5
7	5
11	9

Expert Solution

Step 1

The claim of the test is that the data indicate a significant difference between the treatment or not. The hypothesis.

Null hypothesis:

$H_{0} :$ There is no significant difference between the treatments.

Alternative hypothesis:

$H_{1} :$ There is significant difference between the treatments.

The test statistic and P-value value is obtained by using EXCEL. The software procedure is given below:

Enter the data.
Select Data > Data Analysis >t-Test: Two-Sample Assuming Equal Variances> OK.
Enter Variable 1 Range as A1:A5.
Enter Variable 2 Range as B1:B5.
Enter Hypothesized Mean Difference as 0.
Mark Labels in First Row.
Click OK.

The output using EXCEL is as follows:

From the output, the test statistic is 1.7321, and the P-value for two-tail test is 0.1340.

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