Question

In: Statistics and Probability

Your statistics professor is involved in another educational outreach program designed to decrease participants’ levels of...

  1. Your statistics professor is involved in another educational outreach program designed to decrease participants’ levels of stress. She designed a study in which participants were randomly assigned to two groups. One group completed a 30-minute meditation. A second, control group watched television for 30-minutes. After 30 minutes, participants reported their level of stress.

Your professor, again, asks for your assistance. She predicts that the average level of stress will differ significantly between the meditation and control groups. She wants to use an alpha level of 0.05. (50 Points)

Meditation Group
Stress Levels

Television Group
Stress Levels

3

5

4

4

2

7

1

6

1

5

2

5

4

3

3

4

2

4

1

5

a. Are you running a one-tailed or two-tailed test?

b. Write your alternative and null hypotheses.

c. Which statistical analysis will you use to run your test (e.g. one-sampled t-test, an independent-samples t-test, a paired t-test, or chi-square test)?

d. Run your statistical analysis using SPSS.

(Remember, if you are running a one-tailed test, your alpha value is located in one-tail, meaning your p-value needs to be less than 0.05 to reject the null hypothesis.

If you are running a two-tailed test, your alpha value is divided in half, meaning your p-value needs to be less than 0.025 to reject the null hypothesis)

Solutions

Expert Solution

A) WE ARE RUNNING TWO TAILED TEST.

B) NULL HYPOTHESIS H0:

ALTERANTIVE HYPOTHESIS Ha:

Mean stress level for meditation population

Mean stress level for Telivision population

C) Two groups are independent to each other therefore INDEPENDENT T TEST

D)

Equal variances assumed

Test statistic= -4.872

(TWO TAILED TEST)

P VALUE= 0.000

Since P value SMALLER THAN THE LEVEL OF SIGNIFICANCE 0.05 THEREFORE SIGNIFICANT.

DECISION: REJECT H0.

CONCLUSION: WE HAVE SUFFICENT EVIDENCE TO CONCLUDE THAT THERE IS DIFFERENCE IN MEAN STRESS LEVEL BETWEEN MEDITATION GROUP AND TELEVISION GROUP.


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