We need to answer questions 1 to 4 from the image provided.

Probability and StatisticsStatistical Process ControlStatistical Quality ControlMeasurement Scales
2025/3/15

1. Problem Description

We need to answer questions 1 to 4 from the image provided.

2. Solution Steps

Question 1:
Statistical Process Control tools are used to determine if the inputs/outputs meet the required standard of production. This statement is true.
Answer: A. True
Question 2:
Statistical Quality Control tools and procedures can indeed help monitor process behavior, discover issues, and find solutions for production issues. This statement is true.
Answer: A. True
Question 3:
All the following are procedures for statistical thinking process except?
I. Develop a clear and concise description of the problem.
II. Propose a model for the problem, using scientific knowledge of the phenomenon being studied.
III. Guess solution or make recommendations based on the problem.
In statistical thinking, one develops a clear problem description and proposes a model based on scientific knowledge. Guessing a solution is not a procedure for statistical thinking. Thus, the correct answer is that all of the procedures I, II and III are not followed, unless the goal is to identify recommendations based on a hypothesis instead of simply guessing.
Therefore, the exception is guessing a solution or making recommendations *without* a model or data analysis. The question is a bit ambiguous, as one *can* make recommendations based on a model, but that's not the exception.
So the exception is III, which would be C. II and III only
Question 4:
A measurement scale with an ordered relationship, unique identity and unit along the scale equal to one another is?
Nominal scale: categories with no order (e.g., colors)
Ordinal scale: ordered categories (e.g., rankings)
Interval scale: equal intervals between values, but no true zero (e.g., temperature in Celsius)
Ratio scale: equal intervals between values, and a true zero (e.g., height, weight)
The question specifies ordered relationship, unique identity and unit along the scale equal to one another.
Thus the answer should be an Interval Scale as these scales have ordered relationship and equal units.

3. Final Answer

1. A. True

2. A. True

3. C. II and III only

4. B. Interval scale

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