A coffee machine fills cups with an average of 6 ounces with a standard deviation of .25 ounces.A sample of 9 cups is taken.The lower and upper control limits for a 3-sigma control chart are 5.75 and 6.25,respectively.

Question

A coffee machine fills cups with an average of 6 ounces with a standard deviation of .25 ounces.A sample of 9 cups is taken.The lower and upper control limits for a 3-sigma  control chart are 5.75 and 6.25,respectively.

Quizplus · Accepted Answer

The upper control limit is calculated as 6 + (3 x 0.25) = 6.75 ounces and the lower control limit is calculated as 6 - (3 x 0.25) = 5.25 ounces. Since the actual control limits given in the question (5.75 and 6.25 ounces) fall within these calculated limits, the statement is true.

A Coffee Machine Fills Cups with an Average of 6