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	3
Hurley	4
Gupta	3
Rousche	3
Huang	2

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

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

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

Both means are?

Answer 1

(a)

Number of different samples =

(b)

Sample Number	Names	Shutdowns	Mean
1	Taylor,Hurley	3,4	3.50
2	Taylor, Gupta	3, 3	3.00
3	Taylor, Rousche	3, 3	3.00
4	Taylor, Huang	3, 2	2.50
5	Hurley, Gupta	4, 3	3.50
6	Hurley, Rousche	4, 3	3.50
7	Hurley, Huang	4, 2	3.00
8	Gupta, Rousche	3, 3	3.00
9	Gupta, Huang	3, 2	2.50
10	Rousche, Huang	3, 2	2.50

(c)

Mean of sample means = 30/10 = 3.00

Population mean = 15/5 = 3.00

Mean of sample means = Population mean