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.
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.
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:
There is no significant difference between the treatments.
Alternative hypothesis:
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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