APFIVE Conclusion of a Two-Sample T-Test
What conclusion should be drawn regarding the difference in means between Group Y and Group X at the 5% significance level based on the table above?
| Statistic | Group X | Group Y |
|---|---|---|
| Sample Size (n) | 30 | 30 |
| Sample Mean ($$\bar{x}$$) | 100 | 105 |
| Sample Standard Deviation (s) | 12 | 15 |
| Standard Error of Difference | 4 | |
| t-score | 1.25 | |
| P-value | 0.215 | |
| Significance Level | 0.05 |
A
Fail to reject $$H_0$$; no significant difference is detected.
B
Reject $$H_0$$; Group X has a significantly lower mean.
C
Reject $$H_0$$; Group Y has a significantly higher mean.
D
Reject $$H_0$$; the t-score is significant.
E
Reject $$H_0$$; the difference is statistically significant.
Question Leaderboard
Not enough data yet to show leaderboard.