Graduate Level Statistics

Part 1

Null hypothesis: Teaching Method “Relationship With Direct Supervisor” scores are equal to Teaching Method “Relationship with Coworkers” scores ( ). Alternative hypothesis: Teaching Method “Relationship with Direct Supervisor” scores are not equal to Teaching Method “Relationship With Coworkers scores” ().

A paired two sample t-test for means would be appropriate for testing the null hypothesis. This is because the hypothesis test seeks to determine if there is significant difference in the effectiveness of the two teaching approaches or the difference is just by chance.

From the results of the t-test, the null hypothesis is rejected. There is sufficient evidence to conclude that a significant difference exists between the effectiveness of the two teaching methods because the test statistic of 4.646148362 is more than the critical values for two tail test 2.009575199 at a confidence interval of 95%.

Output

t-Test: Paired Two Sample for Means
	Supervisor	Coworkers
Mean	2.5	1.92
Variance	1.030612245	0.44244898
Observations	50	50
Pearson Correlation	0.51377574
Hypothesized Mean Difference	0
df	49
t Stat	4.646148362
P(T<=t) one-tail	1.28634E-05
t Critical one-tail	1.676550893
P(T<=t) two-tail	2.57268E-05
t Critical two-tail	2.009575199

References

Kock, N. (2015). One-tailed or two-tailed P values in PLS-SEM?. International Journal of e-Collaboration (IJeC), 11(2), 1-7.

Wilcox, R. (2017). Modern statistics for the social and behavioral sciences: A practical introduction. Chapman and Hall/CRC.