| white marbles x | blue marbles y | striped marbles/g | |
| 5.85 | 6.3 | 6.4 | |
| 6.4 | 5.75 | 6 | |
| 6.31 | 4.85 | 6.12 | |
| 6.2 | 6 | 6.15 | |
| 6.25 | 6.45 | 6.17 | |
| n | 5 | 5 | 5 |
| mean | 6.2 | 5.87 | 6.17 |
| sx | 0.21 | 0.63 | 0.15 |
| standard error of the mean for two independent samples | 0.3 | 0.29 | |
| df | 4 | 4 | |
| alpha | 0.05 | 0.05 | |
| tcritical | 2.78 | 2.78 | |
| margin of error E | 0.83 | 0.8 | |
| mean difference xd | 0.33 | -0.3 | |
| Indep t-test | white vs blue | blue vs striped | |
| lower bound | -0.49 | -1.1 | |
| upper bound | 1.16 | 0.51 | |
| mean difference xd | 0.33 | -0.3 | |
| p-value | 0.32 | 0.36 | |
| max confidence level c | 0.68 | 0.64 | |
| stat sig at α = 0.05? | no | no | |
| fail to reject or reject? | fail to reject | fail to reject | |
|
|
|||
| white marbles x | blue marbles y | striped marbles/g | |
| 6 | 5.38 | 6.4 | |
| 6.1 | 5.65 | 6 | |
| 4.9 | 5.53 | 6.12 | |
| 5.95 | 5.77 | 6.15 | |
| 5.83 | 4.45 | 6.17 | |
| 6.05 | 4.85 | ||
| 5.9 | 4.89 | ||
| 4.9 | |||
| n | 7 | 8 | 5 |
| mean | 5.82 | 5.18 | 6.17 |
| sx | 0.42 | 0.47 | 0.15 |
| standard error of the mean for two independent samples | 0.23 | 0.18 | 0.17 |
| df | 6 | 4 | 4 |
| alpha | 0.05 | 0.05 | 0.05 |
| tcritical | 2.45 | 2.78 | 2.78 |
| margin of error E | 0.56 | 0.49 | 0.47 |
| mean difference xd | 0.64 | -0.99 | -0.35 |
| Indep t-test | white vs blue | blue vs striped | white vs striped |
| lower bound | 0.08 | -1.48 | -0.82 |
| upper bound | 1.2 | -0.5 | 0.12 |
| mean difference xd | 0.64 | -0.99 | -0.35 |
| p-value | 0.0147 | 0.0004 | 0.07 |
| maximum conf c | 0.9853 | 0.9996 | 0.93 |
| stat sig at α = 0.05? | yes | yes | no |
| fail to reject or reject? | reject | reject | fail to reject |
|
|||