A local company makes snack size bags of potato chips.The company produces batches of 400 snack size bags using a process designed to fill each bag with an average of 2 ounces of potato chips.However,due to imperfect technology,the actual amount placed in a given bag varies.Assume the population of filling weights is normally distributed with a standard deviation of 0.1 ounces.The company periodically weighs samples of 10 bags to ensure the proper filling process.The last five sample means,in ounces,were 1.99,2.02,2.07,1.96,and 2.01.Is the production process under control?
A)No,since the sample means show a downward trend
B)Yes,since the sample means show a downward trend
C)No,since the sample means fall within the upper and lower control limits
D)Yes,since the sample means fall within the upper and lower control limits

Question

Quizplus · Accepted Answer

The production process is considered under control when the sample means fall within the upper and lower control limits, which are calculated using the sample means and the standard deviation of the sample means. Since the sample means of 1.99, 2.02, 2.07, 1.96, and 2.01 fall within the control limits, we can conclude that the production process is under control. The presence of a downward trend is not relevant in this case.

A Local Company Makes Snack Size Bags of Potato Chips