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

Day	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
Number of Aides Absent	5	8	11	15	4	2	7	1	4	6	14	19	3	5	8

In which of the following ranges you can find the Upper Control Limit of the control chart?
1. 0.1427
2. 0.1536
3. 0.1677
4. Not computable with information available
In which of the following ranges you can find the Lower Control Limit of the control chart?
1. Does not exit (or 0) to under 0.0030
2. 0.0030 to under 0.0040
3. 0.0040 to under 0.05
4. Above 0.05
Investigation of the above data shows that:
1. Absenteeism is not a problem, it is in state of statistical control
2. Absenteeism is out of statistical control because you found one day out of the control limits
3. Absenteeism is out of statistical control because you found two days out of the control limits
4. Absenteeism is out of statistical control because you found three days out of the control limits

Expert Solution

Solution:
Pbar can be calculated as
Pbar = Total no. of absenteeism/Total no. of sample = (5+8+11+15+15+4+2+7+1+4+6+14+19+3+5+8)/1500 = 112/1500 = 0.0747

UCL ca be calculated as
Pbar + 3*sqrt(Pbar*(1-pbar)/n) = 0.0747 + 3*sqrt(0.0747*(1-0.0747)/100) = 0.1536
So its answer is B. i.e. 0.1536

LCL can be calculated as
Pbar - 3*sqrt(Pbar*(1-pbar)/n) = 0.0747 - 3*sqrt(0.0747*(1-0.0747)/100) = 0
So its answer is A. i.e. o to 0.0030

Day	No. Of Absent	Proportion Of Absentism (No. Of Absent/100)
1	5	0.05
2	8	0.08
3	11	0.11
4	15	0.15
5	4	0.04
6	2	0.02
7	7	0.07
8	1	0.01
9	4	0.04
10	6	0.06
11	14	0.14
12	19	0.19
13	3	0.03
14	5	0.05
15	8	0.08

From the Proportion we can say that all absent proportion are between 0 to 0.1536 except day12.
so we can say that absenteeism is our of statistical control because you found one day out of the control limits.
So its answer is B.

orchestra answered 2 years ago

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