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Question

Statement - I : $\bar{X}$-chart, np-chart and R-chart are the techniques used for product control under Statistical Quality Control.
Statement - II : Operating characteristic curve helps determine whether a particular acceptance sampling plan meets both the product's and the consumer's risk requirements.

The correct answer is
Statement - I is incorrect while Statement - II correct.

To evaluate the statements provided, we need to delve into Statistical Quality Control (SQC) and the use of Operating Characteristic (OC) curves. Let's inspect each statement individually for their validity:

  1. Statement - I: “\(\bar{X}\)-chart, np-chart and R-chart are the techniques used for product control under Statistical Quality Control.”

SQC is a method used for monitoring and controlling a process to ensure that it operates at its full potential. It primarily uses control charts like \(\bar{X}\)-chart, R-chart, and others to monitor product-related and process-related characteristics.

  • \(\bar{X}\)-chart: Used for controlling the process mean.
  • R-chart: Used for controlling process variability (range).
  • np-chart: Used for controlling the number of defective items in a sample, which is under attribute control charts, not product control per se.

These charts are primarily used for process control, not specifically for product control, thus making Statement I inaccurate.

  1. Statement - II: “Operating characteristic curve helps determine whether a particular acceptance sampling plan meets both the product's and the consumer's risk requirements.”

An Operating Characteristic (OC) curve is indeed a graphical representation in acceptance sampling used to show the probability of accepting a batch of goods given the proportion of defective items. This curve allows you to see how the sampling plan protects both the producer (i.e., the producer's risk of rejecting a good batch) and the consumer (i.e., the consumer's risk of accepting a bad batch).

Therefore, Statement II accurately describes the use of OC curves in quality control.

Given the analysis above, the correct assessment of the statements is:

  • Statement - I is incorrect while Statement - II is correct.
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Important Questions from Quality Control - Teaching

  1. Assertion (A) : Clean-in-place method of cleaning requires no disassembly or only partial disassembly of equipment.
    Reason (R) : The pieces of equipment are cleaned and sanitized by circulation of chemical compounds through a piping system in clean-in-place method.
    Codes :
  2. Which is the correct danger zone in food production ?
  3. Some tools needed for problem solving are :
    (a) Pareto chart
    (b) Check sheet
    (c) Profit and loss statement
    (d) Cause and effect diagram
    (e) Standardized recipes
    (f) Process chart
  4. An X̅ chart uses the following data

  5. $\bar{X}$ and R-charts are for which of the following ?
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