Question

The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.

Technician	Shutdowns
Taylor	5
Hurley	3
Gupta	5
Rousche	3
Huang	2

1. How many different samples of two technicians are possible from this population?

2. List all possible samples of two observations each and compute the mean of each sample. (Round your answers to 1 decimal place.)

3. Compare the mean of the sample means with the population mean. (Round your answers to 2 decimal places.)

Answer 1

a) number of different samples=(5C2 )=5!/(2!*3!) =10

b)let x1 and x2 are first and 2nd sample:

				sample
x1	x2	(x1,x2)		mean(xbar)
5	3	(5 , 3)		4
5	5	(5 , 5)		5
5	3	(5 , 3)		4
5	2	(5 , 2)		3.5
3	5	(3 , 5)		4
3	3	(3 , 3)		3
3	2	(3 , 2)		2.5
5	3	(5 , 3)		4
5	2	(5 , 2)		3.5
3	2	(3 , 2)		2.5

c)

mean of the sample means =(4+5+4+3.5+4+3+2.5+4+3.5+2.5)/10 =3.6

population mean =(5+3+5+3+2)/5 =3.6

both  mean of the sample means and  population mean are equal

answered by: anonymous