Question

In: Statistics and Probability

A clinic manager conducted an 8-week training on new regulations affecting the practice. Each employee took...

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.

Solutions

Expert Solution

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).


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