valuer 7.00 polnts An automatic filling machine is used to fil 1-liter bottles o
ID: 392353 • Letter: V
Question
valuer 7.00 polnts An automatic filling machine is used to fil 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.00 liter and a standard deviation of 0.05 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 to 4 decimal places.) liter Lower control limits: iter b. Given these sample means: 1.005, 1.001, 998. 1.002, 995, and 999, is the process in controf?
Explanation / Answer
1. Control limits = mean + sigma x z / (n)1/2
For 97% inclusion, values of z will be 2.17
UCL = 1+ 2.17 x0.05 /(26)1/2 = 1.0212
LCL = 1- 2.17 x0.05 /(26)1/2 = 0.9788
(b) Yes. Since all sample values are within range, the process is under control.
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