Question
The assistant to the regional manager of a mid-size paper company wants to know if his subordinates waste time on their personal email accounts instead
The assistant to the regional manager of a mid-size paper company wants to know if his subordinates waste time on their personal email accounts instead of using their work email. To address the question, he has his cousin who works on his beet farm collect data on each of the 20 employees. The data below shows the average number of emails each employee (subordinate) sends in a week for both personal and work email accounts.
Employee | Personal | Work | Difference |
1 | 19 | 21 | -2 |
2 | 16 | 20 | -4 |
3 | 17 | 20 | -3 |
4 | 14 | 21 | -7 |
5 | 17 | 26 | -9 |
6 | 16 | 25 | -9 |
7 | 19 | 17 | 2 |
8 | 18 | 23 | -5 |
9 | 15 | 23 | -8 |
10 | 18 | 24 | -6 |
11 | 15 | 25 | -10 |
12 | 16 | 17 | -1 |
13 | 16 | 25 | -9 |
14 | 14 | 24 | -10 |
15 | 13 | 26 | -13 |
16 | 17 | 23 | -6 |
17 | 19 | 23 | -4 |
18 | 17 | 23 | -6 |
19 | 14 | 23 | -9 |
20 | 13 | 22 | -9 |
Average | 16.15 | 22.55 | -6.4 |
St. Dev. | 1.93 | 2.58 | 3.63 |
The assistant to the regional manager can sometimes be confusing in what he wants, so the explicit research question is given below.
Research question: Do employees send more emails on average using their personal email than their work email?
- The data is clearly paired. Is this an example of matched pairs or repeated measures? (1 pt)
2. What is the parameter of interest? (2 pts)
3. What is the observed statistic and its appropriate symbol? (2 pts)
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