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Tutorial 12 tba (1)

# Tutorial 12 tba (1) - Tutorial12Workshop Datetobeannounced...

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Tutorial 12 – Workshop   Date to be announced ECMT 1020 - Business and Economic Statistics B Aim: To enable students to assess the quality control of a production process through graphical means Instructions: 1. Complete the "Learning the Concepts" questions BEFORE attending your workshop (The questions will be reviewed in class) 2. The "Applying the Concepts" the questions will be done in workshop. 3. Complete the "Review Questions" after attending your workshop. These questions are in multiple choice format and are posted on blackboard. Learning the Concepts Question 1 The following data were collected on non conformances for a period of 10 days. Day Sample Size Nonconformances 1 100 12 2 100 18 3 100 10 4 100 14 5 100 14 6 100 16 7 100 22 8 100 15 9 100 13 10 100 14 (a) Determine the proportion of non conformances for each day. On what day is the proportion of non conformances largest? smallest? (b) What are the LCL and UCL? (c) Are there any special causes of variation? 1

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Question 2 The following summary of data is for subgroups of n = 4 for a 10-day period . Day Mean Range Day Mean Range 1 13.6 3.5 6 12.9 4.8 2 14.3 4.1 7 17.3 4.5 3 15.3 5.0 8 13.9 2.9 4 12.6 2.8 9 12.6 3.8 5 11.8 3.7 10 15.2 4.6 PH Grade (a) Compute control limits for the range. (b) Is there evidence of special cause variation in (a)? (c) Compute control limits for the mean. (d) Is there evidence of special-cause variation in (c)? Question 3 The following data were collected on the number of nonconformities per unit for 10 time periods Time Nonconformities Time Per Unit Time Nonconformities Time Per Unit 1 7 6 5 2 3 7 3 3 6 8 5 4 3 9 2 5 4 10 0 (a) Construct the appropriate control chart and determine the LCL and UCL. (b)
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Tutorial 12 tba (1) - Tutorial12Workshop Datetobeannounced...

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