Answered: The following ten daily observations on…

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 ten daily observations on PM2.5 values in Buffalo were observed in January 2018: 9.4, 3.8, 8.0, 4.2, 6.3, 16.7, 9.5, 3.6, 7.5, 3.9. There were nine daily observations in February 2018: 8.8, 4.2, 12.9, 16.4, 11.2, 10.5, 5.2, 3.8, 3.8. Test the null hypothesis that the means for January and February are equal. Use alpha = 0.10. Also give the p-value.

Expert Solution

Step 1

The hypotheses are given below:

Null hypothesis:

H0:µ1- µ2=0

Alternative hypothesis:

H1: µ1- µ2≠0

Step-by-step procedure to find the test statistic using Excel:

In Excel sheet, enter January in one column and enter February in one column.
In Data, select Data Analysis and choose t test: Two-sample Assuming unequal variance.
In Input Variable 1 Range, select January.
In Input Variable 2 Range, select February.
Enter 0.10 in Alpha
Click Labels.
Click Ok.

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