the control limits are
where k = number of standard deviation units
given machine output is approximately normal, 97% of the sample means to be in control
P(Z) = 0.97 => Z = 1.88
k = 1.88
control limits are
UCL = 1+1.88*0.05 = 1.0940
LCL = 1-1.88*0.05 = 0.906
B) yes the process is in control since no observation is above or below control limits.
e: DO points oblem 10-2 n automatic filling machine is used to fill 1-liter bottles of...
Problem 2. An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approxi- mately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. a. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. b. Given these sample means: 1.005, 1.001,.998, 1.002, 995, and.999, is the process...
An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s 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 26 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. (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers...
An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of O.99 liter and a standard deviation of 0.04 liter. Output is monitored using means of samples of 26 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. (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers...
Problem 10-2 An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of .92 liter and a standard deviation of .02 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. (Do not round intermediate calculations. Round your answers to 4 decimal places.)...
An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.0 liter and a standard deviation of 0.02 liters. Output mean is monitored daily by using 100 samples, each with 25 observations. Determine three sigma upper and lower control limits. Select one: a. UCL = 1.012; LCL = 0.988 О b. UCL = 1.006; LCL = 0.994 O c. UCL = 1.02; LCL = 0.98 d. none of...