Example Problem - Difference of Means Paired (Related) New procedures are put in place to impact the time it takes to hi

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Example Problem - Difference of Means Paired (Related)
New procedures are put in place to impact the time it takes to
hire an employee in days.
Following is the data, before and after implementation, for 10
Bureaus, before and after.
Do the procedures have an impact? (5 pts. Each)
Bureau
Before
After
1
36.4
32.2
2
49.2
45.2
3
26.8
31.3
4
32.2
27.1
5
41.9
33.4
6
29.8
29
7
36.7
24.1
8
39.2
38.2
9
42.3
38
10
41.9
37.2
average
37.64
33.57
stdev
6.708733942
6.22701
Hypothesis: the new procedure impacts the amount of time to hire
employees.
a. State the null and alternative hypothesis
b. You are given the mean and standard deviation for before and
after. Calculate the overall standard error.
c. Calculate the t-score for the difference of means
d. Interpret your results. Is the difference of means
statistically significant? Is it practically
significant?
e. What is the difference in results from Question
6? Why the difference?