A farm wishes to estimate the average man-hours lost due to employees’ ill health in the current agricultural year. The lost hours of 10 employees due to illness in this year were recorded. The farm records show that the total number of man-hours lost because of illness last year is X = 16 300. The farm has 1 000 employees. Table1 presents the lost man-hours for 10 employees.
Table 1: Lost Man-hours for Employees of a Farm
Employees
Man-Hours Lost in the Previous Agricultural Year (Xi)
Man-Hours Lost in the current Agricultural Year (Yi)
1
12
13
2
24
25
3
15
15
4
30
32
5
32
36
6
26
24
7
10
12
8
15
16
9
00
02
10
14
12
Use ratio and regression estimators to estimate the average and total man-hours lost due to illness in the current agricultural year.
Find the estimated standard errors of the estimators in (a) above.