In: Statistics and Probability
In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2017 by a sample of residents at the Tidelands Medical Center.
86 | 84 | 89 | 89 | 79 | 83 | 84 | 85 | 83 | 78 | 74 | 90 |
sr.no. | x | x-x̅ | (x-x̅)^2 |
1 | 86 | 2.3333 | 5.4444 |
2 | 84 | 0.3333 | 0.1111 |
3 | 89 | 5.3333 | 28.4444 |
4 | 89 | 5.3333 | 28.4444 |
5 | 79 | -4.6667 | 21.7778 |
6 | 83 | -0.6667 | 0.4444 |
7 | 84 | 0.3333 | 0.1111 |
8 | 85 | 1.3333 | 1.7778 |
9 | 83 | -0.6667 | 0.4444 |
10 | 78 | -5.6667 | 32.1111 |
11 | 74 | -9.6667 | 93.4444 |
12 | 90 | 6.3333 | 40.1111 |
Total | 1004 | 252.6667 | |
mean=x̅ | Total/12 | ||
x̅= | 83.6667 |