Question

A control chart has UCL = 45.1 and USL = 45.6, and the last sample has values of 44.6, 45.7 and 44.8; One can conclude:

a) The process is within specifications and in control,
b) The process is within specifications but out-of-control,
c) The process is out of specifications but in control
d) The process is out of specifications and out-of-control

Answer 1

Upon reviewing a quality control chart with specified UCL and USL, one sample value exceeded these limits. Therefore, we can conclude the process is out of both control and specifications.

Therefore, the correct answer is d) The process is out of specifications and out-of-control.

Step-by-step explanation:

The question pertains to the analysis of a quality control chart. Specifically, the chart's Upper Control Limit (UCL) is given as 45.1, and the Upper Specification Limit (USL) is 45.6. The process is deemed in control if the sample values are below the UCL, and within specifications if the values are below the USL.

After analyzing the sample values of 44.6, 45.7, and 44.8 provided in the question, the following can be concluded:

• The process is out-of-control because one of the sample values (45.7) is above the UCL of 45.1.
• The process is also out of specifications since the same sample value (45.7) exceeds the USL of 45.6.

Therefore, the correct answer is d) The process is out of specifications and out-of-control.