Question

Q1(4 marks) fill in the blank: 1 The process is said to be in control state if two conditions are satisfied: a) b) These are two unnatural patterns of variation within data points in a control chart 2. a) b) 03(20 marks) The bottling machine at JUCE company is being evaluated for its capability BottlingAverage Sample machinestandard deivation Sample size 0.1228 The bottles weight specications are set between 15.8 and 16.2 ounces, and the process mean value is 15.9 ounces a) examin the cabability of the machine. For machine A: If the bottles weight is below the lower specification limit or if it is above the upper specification limit, the bottles are reworked. b) what percentage of the bottles is reworked? What percentage is scrapped? c) construct the x-bar control chart; what percent of data is out of control? d) for various reasons, the process average is changed to 16.0 mm. With this new mean or process center, what percentage of the bottles is reworked? What percentage is scrapped? e) is the change in the process center a wise decision based on a process capability study, why,make the necessary calculations to prove your answer?

Answer 1

Q1

1.

a)

The observed data points are below the UCL

b)

The observed data points are above the LCL

2.

a)

7 or more consecutive data points trend up or down

b)

14 consecutive points alternate up and down the CL