An automatic filling machine is used to fill 1-liter bottles of cola. The machin

Question

An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of .96 liter and a standard deviation of .02 liter. Output is monitored using means of samples of 30 observations. Use Table-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.)

Make sure the answer is rounded to 4 decimal places.

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

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.)

Make sure the answer is rounded to 4 decimal places.

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

Explanation / Answer

Ans 1 - Upper control limit with 97 percent of sample = Mean + (2 x Standard Deviation) = 0.96 + 0.04 = 1

Lower control limit = Mean - (2 x Standard Deviation) = 0.96 - 0.04 = 0.92

Ans 2 - For means 1.005, 1.001 and 1.002 the process is not in control as it exceeds the upper limit

For means 0.998, 0.995 and 0.999 the process is in control as they are within the control limits.

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