Question

# Research Scenario: an organizational psychologist is studying whether 10 minutes of guided mediation lowers axiety before...

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 t-test. 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 APA-style 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 t-test for checking or testing the following null and alternative hypotheses.

Null hypothesis: H0: There is no any significant difference in the average anxiety score due to meditation and without meditation.

Alternative hypothesis: H0: The average anxiety score with meditation is less than the average anxiety score without medication.

H0: µ1 = µ2 vs. Ha: µ1 < µ2

This is a one-tailed test.

µ1 = Average anxiety score with medication

µ2 = 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 t-test 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

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

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

P-value for two tailed test = 0.468

P-value for one tailed test = 0.468/2 = 0.234

P-value = 0.234 > α = 0.05, so we reject H0

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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