Research Scenario: an organizational psychologist is studying whether 10 minutes of guided mediation lowers axiety before weekly board meeting. She randomly assigns participants to either come 10 minutes early and participant in the guided mediation, or arrive on time. Using this table enter the data into a new SPSS data file and run an independent samples t test to test whether mediation lessend anxiety. Remember to name and define your variables under the "variable view," then return to the "data view" to enter and analyze the data. Remember, data will be entered differently than in a paired samples ttest. Specifically you will have one variable ("group"), with 0= no mediation and 1 = mediation. The other variable will be "anxiety". Thus data will not be entered exactly as shown.
no meditation 
meditation 
25 
24 
23 
23 
27 
22 
39 
30 
42 
41 
33 
30 
38 
38 
28 
25 
31 
33 
41 
38 
5) Paste relevant SPSS output.
6) Create an appropriate graph to display this data.
7) Write an APAstyle Results section based on your analysis. All homework "Results sections" should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, the effect size. Don't forget to include a decision about the null hypothesis.
Solution:
Here, we have to use independent samples ttest for checking or testing the following null and alternative hypotheses.
Null hypothesis: H_{0}: There is no any significant difference in the average anxiety score due to meditation and without meditation.
Alternative hypothesis: H_{0}: The average anxiety score with meditation is less than the average anxiety score without medication.
H_{0}: µ_{1} = µ_{2} vs. H_{a}: µ_{1} < µ_{2}
This is a onetailed test.
µ_{1} = Average anxiety score with medication
µ_{2} = Average anxiety score without medication
We assume a level of significance as α = 0.05.
Required SPSS output for the box plots and independent samples ttest is given as below:
Group Statistics 


Meditation 
N 
Mean 
Std. Deviation 
Std. Error Mean 

Anxiety 
Meditation 
10 
30.4000 
6.91536 
2.18683 
No Meditation 
10 
32.7000 
6.94502 
2.19621 
Independent Samples Test 


Levene's Test for Equality of Variances 
ttest for Equality of Means 

F 
Sig. 
t 
df 
Sig. (2tailed) 
Mean Difference 
Std. Error Difference 
95% Confidence Interval of the Difference 

Lower 
Upper 

Anxiety 
Equal variances assumed 
.022 
.882 
.742 
18 
.468 
2.30000 
3.09928 
8.81135 
4.21135 
Equal variances not assumed 
.742 
18.000 
.468 
2.30000 
3.09928 
8.81136 
4.21136 
Pvalue for two tailed test = 0.468
Pvalue for one tailed test = 0.468/2 = 0.234
Pvalue = 0.234 > α = 0.05, so we reject H_{0}
We reject the null hypothesis that there is no any significant difference in the average anxiety score due to meditation and without meditation.
There is sufficient evidence to conclude that the average anxiety score with meditation is less than the average anxiety score without medication.
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