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MNO2602 Assignment 4 (COMPLETE ANSWERS) Semester 1 2026 - DUE 28 April 2026

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MNO2602 Assignment 4 (COMPLETE ANSWERS) Semester 1 2026 - DUE 28 April 2026; 100% TRUSTED Complete, trusted solutions and explanations. For assistance, Whats-App 0.8.1..2.7.8..3.3.7.2... Ensure your success with us.. Question 1 [16 marks] 1.1 Distinguish between random variation and nonrandom variation in a process. (6) 1.2 Discuss the different nonrandom signals that can occur when using a process control chart to analyse a process. (5) 1.3 Explain the various types of attributes. (5) 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. Day Time (min) 1 6.7 11.7 9.7 2 7.6 11.4 9.0 3 9.5 8.9 9.9 4 9.8 13.2 6.9 5 11.0 9.9 11.3 Calculate the control limits for an xchart, with the range as measure of dispersion. (5) 2.2 A manufacturer of ceramic tiles subjects their tiles to several quality checks. Tiles with surface deformities or not meeting specifications are marked as defective. The table below shows the number of defective tiles in 7 samples consisting of 50 tiles each. Sample number 1 2 3 4 5 6 7 Number of defective tiles 7 5 6 3 3 6 2 The quality control specialist calculated the control limits for a p chart, obtaining UCL = 0.21 and LCL = 0.00. Use the data and information above to construct the p chart. (5) Assignment 4 MNO2602 Semester 1/2026 Question 3 [14 marks] 3.1 A critical part has the specifications 156.45 ± 0.3 cm. The part is manufactured from a process with a mean of 156.30 cm and a standard deviation of 0.09 cm. Determine the process capability. (6) 3.2 What is the reliability of a product with a failure rate of 0.02 per operating hour and a useful life of 96 hours? (4) 3.3 A system consists of five components, connected as in the figure below: The reliability of each component is as follows: Determine the reliability of the system.

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MNO2602
Assignment 4 Semester 1 2026
Unique number:
Due Date: 2026
QUESTION 1

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

Random variation refers to the natural changes that happen in a process over time. These
changes are normal and expected, and they occur around an average value with a stable
pattern of spread. This type of variation cannot be removed because it is part of how the
process normally works. It only shows how consistent or inconsistent the process is when
producing outputs (Dirkse Van Schalkwyk & Hammann, 2019).

Nonrandom variation is different because it happens due to a specific cause or unusual
event. It does not follow the normal pattern of the process and often leads to sudden
changes in results. This type of variation can be linked to identifiable problems such as faulty
materials, machine failure, or human error. Unlike random variation, it can be investigated
and corrected once the cause is found (Dirkse Van Schalkwyk & Hammann, 2019).




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QUESTION 1

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

Random variation refers to the natural changes that happen in a process over time.
These changes are normal and expected, and they occur around an average value
with a stable pattern of spread. This type of variation cannot be removed because it
is part of how the process normally works. It only shows how consistent or
inconsistent the process is when producing outputs (Dirkse Van Schalkwyk &
Hammann, 2019).

Nonrandom variation is different because it happens due to a specific cause or
unusual event. It does not follow the normal pattern of the process and often leads to
sudden changes in results. This type of variation can be linked to identifiable
problems such as faulty materials, machine failure, or human error. Unlike random
variation, it can be investigated and corrected once the cause is found (Dirkse Van
Schalkwyk & Hammann, 2019).

1.2 Discuss the different nonrandom signals that can occur when using a
process control chart to analyse a process (5)

A clear signal of nonrandom variation is when a data point falls above the upper
control limit or below the lower control limit. This shows that the process is no longer
stable and is affected by a specific cause (Dirkse Van Schalkwyk & Hammann,
2019).

Another signal is when two points appear far from the average, close to the control
limits. This suggests that the process is starting to shift away from its normal
position. A process run is also a warning sign, where many points follow each other
on one side of the average, showing a possible change in the process level (Dirkse
Van Schalkwyk & Hammann, 2019).

A process drift happens when values slowly move in one direction over time, which
may indicate wear in equipment or gradual changes in conditions. Erratic behaviour,

Disclaimer
Great care has been taken in the preparation of this document; however, the contents are provided "as is"
without any express or implied representations or warranties. The author accepts no responsibility or
liability for any actions taken based on the information contained within this document. This document is
intended solely for comparison, research, and reference purposes. Reproduction, resale, or transmission
of any part of this document, in any form or by any means, is strictly prohibited.

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