An automatic filling machine is used to fill 1-liter bottles of cola. The machines output is approximately normal with a mean of 0.99 liter and a standard deviation of 0.04 liter. Output is monitored using means of samples of 28 observations. Use Table-A below:

a.Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers to 4 decimal places.) b.Given the following sample means1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?

multiple choice 1

Yes

No

c. Is the process in control given the following sample means1.003, .999, .997, 1.001, 1.002, .998, and 1.004?

multiple choice 2

Yes

No