Question

As a hospital administrator of a large hospital, you are concerned with the absenteeism among nurses' aides. The issue has been raised by registered nurses, who feel they often have to perform work normally done by their aides. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 60 personnel files each day, the following data were produced:

Day	Aides Absent	Day	Aides Absent	Day	Aides Absent
1	3	6	5	11	5
2	5	7	5	12	4
3	5	8	1	13	7
4	2	9	7	14	2
5	7	10	7	15	3

Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will have to explore them on behalf of the registered nurses.

a. Design a p-chart.

The upper control limit is ___ and the lower control limit is ____.

Answer 1

Table:

Day	Number of absents(defectives) np	Sample n=	Fraction defective p = np/n
1	3	60	0.05
2	5	60	0.083
3	5	60	0.083
4	2	60	0.033
5	7	60	0.116
6	5	60	0.083
7	5	60	0.083
8	1	60	0.016
9	7	60	0.116
10	7	60	0.116
11	5	60	0.083
12	4	60	0.066
13	7	60	0.116
14	2	60	0.033
15	3	60	0.05
	$\sum np=68$	n-900	p 1.127

The average is calculated as:

Σ np =-= 0.0755 n 900

Ση 900 =_=60 15

upper control limit:

0.0755(1- 0.0755) (0.0755+3 UCLp P+3

lower control limit :

30.0755(1-0.0755) p(1-P) 一0.0268

The upper control limit = 0.1778 and lower control limit = -0.0268