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MNO2602_ASSESSMENT 4 _ 082235 _ SEMESTER 1 2025 Question 1 [16 marks] 1.1 Distinguish between random variation and nonrandom variation in a process. 1.2 Discuss the different nonrandom signals that can occur when using a process c

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MNO2602_ASSESSMENT 4 _ 082235 _ SEMESTER 1 2025 Question 1 [16 marks] 1.1 Distinguish between random variation and nonrandom variation in a process. 1.2 Discuss the different nonrandom signals that can occur when using a process control chart to analyse a process. 1.3 Explain the various types of attributes. Question 2 [10 marks] 2.1 A certain hotel would like to analyse the time (measured in minutes) it takes for the guests’ luggage to be delivered to their rooms. The following data was recorded over a 5-day period.

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THE BMZ ACADEMY




THE BMZ ACADEMY




@061 262 1185/068 053 8213




BMZ ACADEMY 061 262 1185/068 053 8213

, THE BMZ ACADEMY


Question 1 [16 marks]

1.1 Distinguish between random variation and nonrandom variation in a
process. (6)

All processes experience variation. However, not all variation is the same. Process

variation occurs in all processes. Some variation can be managed or controlled, while

other variation cannot. Too much variation in a process will result in defective parts or

products and lead to a reputation for poor quality. There are two types of process

variation: random and nonrandom. In quality management, distinguishing between

random variation and nonrandom variation is critical for process control, defect

prevention, and consistent quality outcomes (Evans & Lindsay, 2020: 214). These two

types of variation indicate whether a process is operating within its natural limits or has

been disrupted by identifiable causes.


Random Variation (Common Cause Variation)


Random variation, also known as common cause or uncontrollable variation, arises

naturally within a process. It is inherent to the system, caused by numerous small,

random factors that are difficult to isolate and control. For example, minor fluctuations

in material properties, ambient temperature changes, or normal equipment wear are

typical sources (Foster, 2013:299).


This type of variation is characterised by its consistency: it is centred around a mean

and shows a predictable dispersion pattern. Statistical control charts will display points

that fall within control limits, indicating that the variation is stable and expected




BMZ ACADEMY 061 262 1185/068 053 8213Page 2 of 29

, THE BMZ ACADEMY

(Oakland, 2014:136). Importantly, random variation cannot be completely eliminated

only reduced through process redesign.


Random variation determines whether a process can consistently meet specifications.

Adjusting a process when only random variation is present (a mistake known as

tampering) often makes things worse by injecting unnecessary changes (Foster,

2013:300). For example, an operator making frequent tweaks to machinery based on

normal fluctuations can actually create instability. Thus, when only random variation is

present, future process samples are expected to behave similarly.


Nonrandom Variation (Special Cause Variation)


Nonrandom variation, often called special cause, assignable cause, or identifiable

cause variation, arises from specific, unusual events or disruptions. Unlike random

variation, this type is not inherent in the process and signals that something is wrong

(Denhardt, 2015:22). Examples include receiving defective raw materials, a machine

breakdown, or an operator making errors due to fatigue or intoxication (Foster,

2013:300).


Nonrandom variation causes shifts in process average or changes in dispersion

that make the process unstable and unpredictable. This variation is controllable once

the special cause is identified, it can be corrected to restore process stability.

Statistical Process Control (SPC) tools like control charts are specifically designed to

detect nonrandom variation. When process points fall outside control limits, or show

patterns like runs or trends, it signals special cause variation (Evans & Lindsay,

2020:215).



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