Question: A Quality Analyst wants to construct a sample mean chart for controlling a packaging process. The analyst knows from past experience that whenever this process

A Quality Analyst wants to construct a sample mean chart for controlling a packaging process. The analyst knows from past experience that whenever this process is under control, package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces. Each day last week, the analyst randomly selected four packages and weighed each with the following results:

Day Weight (ounces)
Monday 23 22 23 24
Tuesday 23 21 19 21
Wednesday 20 19 20 21
Thursday 18 19 20 19
Friday 18 20 22 20

If upper and lower control limits of 23 and 17 ounces are used, on what day(s), if any, does this process appear to be out of control?

Multiple Choice

  • The process is in control

  • Monday

  • Monday and Tuesday

  • Monday, Tuesday, and Thursday

  • Tuesday

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