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
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
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
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
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The hypotheses are given below:
![Null hypothesis: H =2
Alternative hypothesis: H](https://content.bartleby.com/qna-images/answer/8dea3234-b158-49d2-94cc-b2ed480e1e00/f2767517-167c-4fa7-a48b-3ad220c2f7ae/b26c2qn.png)
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](https://content.bartleby.com/qna-images/answer/8dea3234-b158-49d2-94cc-b2ed480e1e00/f2767517-167c-4fa7-a48b-3ad220c2f7ae/zwbwk3k.png)
Step 3
The degrees of freedom is,
![df nn-2
+
п,
=10+11-2
= 19](https://content.bartleby.com/qna-images/answer/8dea3234-b158-49d2-94cc-b2ed480e1e00/f2767517-167c-4fa7-a48b-3ad220c2f7ae/7k8ltr.png)
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](https://content.bartleby.com/qna-images/answer/8dea3234-b158-49d2-94cc-b2ed480e1e00/f2767517-167c-4fa7-a48b-3ad220c2f7ae/w165h0h.png)
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