In: Statistics and Probability
A clinic manager conducted an 8-week training on new regulations affecting the practice. Each employee took a pre-assessment and a post-assessment to determine their level of knowledge on the content of the training. The data are as follow:
| Individual | Pre | Post |
| 1 | 2.4 | 3 |
| 2 | 2.5 | 2.8 |
| 3 | 3 | 3.5 |
| 4 | 2.9 | 3.1 |
| 5 | 2.7 | 3.5 |
| 6 | 2.7 | 3.3 |
| 7 | 2.8 | 3.1 |
| 8 | 3.3 | 3.8 |
| 9 | 3.2 | 3.4 |
| 10 | 3 | 3.8 |
| 11 | 2.1 | 2.7 |
| 12 | 2.2 | 2.5 |
| 13 | 2.7 | 3.2 |
| 14 | 2.6 | 2.8 |
| 15 | 2.4 | 3.2 |
A) Conduct the appropriate t-test and indicate your evidence at α = 0.05 that the training was effective.
B) Write a one-sentence journal entry for the results.
C) Is this a two-tailed or one-tailed test? Explain your choice.
A)
Here we need to use paired t test. Following table shows the calculations:
| Pre | Post | d=Pre-post | (d-mean)^2 |
| 2.4 | 3 | -0.6 | 0.0144 |
| 2.5 | 2.8 | -0.3 | 0.0324 |
| 3 | 3.5 | -0.5 | 0.0004 |
| 2.9 | 3.1 | -0.2 | 0.0784 |
| 2.7 | 3.5 | -0.8 | 0.1024 |
| 2.7 | 3.3 | -0.6 | 0.0144 |
| 2.8 | 3.1 | -0.3 | 0.0324 |
| 3.3 | 3.8 | -0.5 | 0.0004 |
| 3.2 | 3.4 | -0.2 | 0.0784 |
| 3 | 3.8 | -0.8 | 0.1024 |
| 2.1 | 2.7 | -0.6 | 0.0144 |
| 2.2 | 2.5 | -0.3 | 0.0324 |
| 2.7 | 3.2 | -0.5 | 0.0004 |
| 2.6 | 2.8 | -0.2 | 0.0784 |
| 2.4 | 3.2 | -0.8 | 0.1024 |
| Total | -7.2 | 0.684 |


b)
We can conclude that training program is effective
c)
Test is one tailed (left tailed).