Tierainie Johnson U6 D2: t-Test Analysis
COLLAPSE
This analysis is interested in comparing the mean of two related groups using a paired
t-test. The main variable of concern is the Pre-mental health scores and post-mental
health scores, where we are interested in examining whether there is a significant
difference in the mean scores before and after the intervention.
t-test Results
Pre-MH Post-MH
Mean 84.41 71.37
Variance 84.28 324.86
Observations 100 100
Pearson Correlation 0.6105
Hypothesized Mean Difference 50
df 99
t stat -25.68
P(T<=t) one-tail 0
t critical one-tail 1.66
P(T<=t) two-tail 0
t Critical two-tail 1.9842
The analysis indicates that the computed t-statistic is -25.68 meaning that there is a
difference between the sample means relative to the variability within the paired
observations. While the p-value for both one-tailed and two-tailed tests is indicating that
we should reject the null hypothesis and that there is a significant difference between the
Pre-MH and Post-MH scores. Furthermore, the Post-MH scores were significantly lower
than the Pre-MH scores, indicating a potential impact of the intervention on the treatment
of mental health.
