Question: The survey is conducted to calculate average number of sick days.The employees are categorised into nurses,...

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Question:
The survey is conducted to calculate average number of sickdays.The employees are categorised into nurses, doctors andadministrators. Stratified random sampling, is used with each groupforming a separate strata in order to conduct survey. The no. ofemployees in the strata are given in table below:
Table-1:
Number of employees in each category
Doctors
Nurses
Administrators
No. of employees
120
80
10
Number of Sick days for 9 doctors, 7 nurses and 4administrators
Table-2:
Group
No of Sick Days
Mean
SÂ²
Drs
8
7
10
12
19
6
13
12
9
10.67
15.5
Nurses
4
8
3
12
7
10
15
8.43
18.29
Adm
5
12
10
11
9.5
9.67
a.Â Â Calculate the sample size from each strata ifproportional allocation is done for selecting total 25 employeesfrom table-1
b.Â Â Using the data from table-2 calculate the meannumber of sick days for that year.
c.Â Â Place a 95% confidence bound on the mean.
d. Calculate the total number of sick days for the year.
e.Â Â Place a bound on the total number of sick days andinterpret this bound.

Answer & Explanation Solved by verified expert

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aPopulation size N Ni1208010 210Required sample size n 25From doctors nN120 25210120 14From nurses 2521080 10From administrators 2521010 1So 14101 25bFor Drs No of sick days 879 96For Nurses No of sick days 4815 59For Adm No of sick days 5 11 38Total number of See Answer

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Group	No of Sick Days	Mean	SÂ²
Drs	8	7	10	12	19	6	13	12	9	10.67	15.5
Nurses	4	8	3	12	7	10	15			8.43	18.29
Adm	5	12	10	11						9.5	9.67