In an experiment, 10 participants were given a test of mental performance in str

Question

In an experiment, 10 participants were given a test of mental performance in stressful situations. Their scores were 2,2, 4, 3, 0, 2, 7, and 5. Ten other participants were given the same test afte they had been trained in stress-reducing techniques. Their scores were 4, 4, 6 0, 6, 5, 2, 3, 6, and 4. Do the appropriate t test to determine if the group that had been trained had different mental performance scores than the group that had not been trained in stress reduction techniques. What do these results mean? Write your findings in APA format.

Explanation / Answer

Here we have to test the hypothesis that,

H0 : Mud = 0 Vs H1 : Mud not= 0

where Mud is the population mean difference between before and after observation.

Assume alpha = 0.05

Here this is the example of paired t-test.

The test statistic is,

t = (Xbar - Mud) / (sd / sqrt(n))

We can test this hypothesis in EXCEL.

steps :

ENTER data into EXCEL sheet --> Data --> Data ANalysis --> t-test : Paired two sample for means --> ok --> Input --> Variable 1 range : select variable1 range --> Variable 2 Range : select variable 2 range --> Hypothesized mean difference : 0 --> Click on labels --> Alpha : 0.05 --> Output Range : select one empty cell --> ok

Test statistic = -0.66

P-value = 0.5235

P-value > alpha

accept H0 at 5% level of significance.

Conclusion : There is not sufficient evidence to say the group that had not been trained had different mental performance scores than the group that had been trained in stress reduction technique.

t-Test: Paired Two Sample for Means before after Mean 3.3 4 Variance 4.011111 3.777778 Observations 10 10 Pearson Correlation -0.42815 Hypothesized Mean Difference 0 df 9 t Stat -0.66375 P(T<=t) one-tail 0.261745 t Critical one-tail 1.833113 P(T<=t) two-tail 0.52349 t Critical two-tail 2.262157

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.