1. Chapter 10: An automatic filling machine is used to fill 1-liter bottles of cola. The machines output is approximately normal with a mean of 1.00 liter and a standard deviation of 0.03 liter. Output is monitored using means of samples of 27 observations. Use Table-A.

a. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control.

Upper= 1+2.17*(0.03/27^1/2)

=1+2.17*0.0057

=1+0.0125

= 1.0125

Lower= 1-2.17*(0.03/.27^1/2)

=1-2.17*0.0057

= 1-0.0125

=0.9875

b.Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?