Answered: For the following set of data from two…

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

For the following set of data from two independent samples, conduct an independent samples t test (by hand or using SPSS) to determine if the mean scores for each sample are significantly different.

Sample 1: 5, 7, 4, 7, 2, 6, 7, 3, 4, 5

Sample 2: 3, 4, 3, 4, 3, 3, 3, 4, 5, 4, 3

Expert Solution

Step 1

The hypotheses are given below:

Null hypothesis: H =2
Alternative hypothesis: H

Step 2

Step-by-step procedure to obtain the mean and standard deviation using MINITAB software:

Choose Stat > Basic Statistics > Display Descriptive Statistics.
In Variables enter the columns 8-10 year, 11 and 14 year.
Choose option statistics, and select Mean and standard deviation.
Click OK.

Output obtained using MINITAB software is given below:

Descriptive Statistics: Sample 1, Sample 2
Statistics
Variable
Sample 1 10 0 5.000
Sample 2 11
N N Mean SE Mean StDev Variance Minimum Maximum
0.558
1.764
3.111
2.000
7.000
0.688
0.473
3.545
0.207
3.000
5.000

Step 3

The degrees of freedom is,

Step 4

Step-by-step procedure to obtain the critical value using MINITAB software:

Choose Graph > Probability Distribution Plot choose View Probability > OK.
From Distribution, choose ‘t’ distribution.
In Degrees of freedom, enter 19.
Click the Shaded Area
Choose Probability and both Tail for the region of the curve to shade.
Enter the Probability as 0.05.
Click OK.

Output obtained using MINITAB software is given below:

Distribution Plot
T, df 19
0.4
0.3
0.2
0.1
0.025
0.025
0.0
-2.093
0
2.093
х
Density

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