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	66	6	66	11	33
2	55	7	11	12	88
3	11	8	77	13	1212
4	33	9	22	14	44
5	77	10	88	15	44

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. then find the

upper control limit

_________

and the lower control limit

_____

​(Enter

your responses rounded to

three decimal

places.

If your answer for the lower control limit is​ negative, enter this value as

0.​)

Answer 1

Since, the number of aides absent have been doubled in the question as defects can't be more than sample size. I AM GONNA GIVE YOU THE REQUIRED SOLUTION FOR SINGLE CORRECT DIGITS.

Total number of aides absent (p) = 6+5+1+3+7+6+1+7+2+8+3+8+12+4+4

Total number of aides absent (p) = 77

Number of samples (m) = 15

Sample size (n) = 60

Fraction defective () = p/(n×m)

Fraction defective () = 77/(60×15)

Fraction defective () = 0.08556

Let Standard Deviation =

Given type 1 error of 1%

Therefore, confidence level = 99%

Value of Z corresponding to 99% confidence = 2.576

UCL = 0.08556 + (2.576 × 0.03611)

UCL = 0.17858

LCL = 0.08556 - (2.576 × 0.03611)

LCL = -0.007459

Since LCL can't be negative, therefore,

LCL = 0