Question

A quality control department employees six technicians during a day shift. Listed below is the number of times in the preceding week that any one technician caused a delay in the manufacturing process by requiring a temporary shutdown.

Taylor 5
Hurley 4
Gupta 6
Rousche 5
Huang 4
(a) How many samples, without replacement, of size two are possible?
(b) Compute the mean of the sample means and compare it to the population mean
Sample Mean?

Answer 1

a) The sample size of two possible without replacement is 10

b) The population mean is 4.8 shutdown.

The population mean and the sample mean are the same.

Explanation:

An image is attached showing the step by step solution.

a) This is a combination problem. We did 5 combination 2 to get 10 possible samples.

b) We generate the possible sample and find their means. Then find the mean of the sample mean which is also the same as the population mean.