The image contains six multiple-choice questions related to statistics and quality control.
Probability and StatisticsStatistical Process ControlStatistical Quality ControlStatistical ThinkingMeasurement ScalesCentral TendencyParameters
2025/5/4
1. Problem Description
The image contains six multiple-choice questions related to statistics and quality control.
2. Solution Steps
Question 1:
The question asks whether Statistical Process Control (SPC) tools and procedures are used to ensure inputs/outputs meet production standards. This is the primary purpose of SPC. The original answer marked "False" is incorrect.
Question 2:
The question asks if Statistical Quality Control tools and procedures help monitor process behavior, discover issues, and find solutions. This is true. The original answer marked "False" is incorrect.
Question 3:
The question asks which of the following is NOT a procedure for the statistical thinking process:
I. Develop a clear and concise description of the problem.
II. Propose a model for the problem, using scientific knowledge.
III. Guess solution or make recommendations based on the problem.
Guessing a solution before proper analysis is not part of statistical thinking. Therefore, III is not a procedure for the statistical thinking process. The original answer marked "None of the above" is incorrect, because III alone is the exception. If the question implies that we are looking for an answer that contains only correct procedures, then I and II would be the correct choice. It might be a poorly worded question that is ambiguous. However, if one MUST pick an option from the given answers, "A. I and II only" would be the *most* correct answer given the available options.
Question 4:
The question asks about a measurement scale with ordered relationships, unique identity, and equal units along the scale.
Nominal scale: Categories with no order.
Ordinal scale: Categories with an order, but unequal intervals.
Interval scale: Ordered scale with equal intervals, but no true zero point.
Ratio scale: Ordered scale with equal intervals and a true zero point.
Since the question mentions equal units along the scale, the interval and ratio scales are possibilities. The fact that it mentions "unique identity" eliminates the interval scale since interval scales are often centered around
0. Therefore, the answer is "Ratio Scale".
Question 5:
The question asks what a summary statistic representing the central or typical part of a dataset is termed as. This is a measure of central tendency, such as mean, median or mode. The response should be something like "measure of central tendency". Since the image provides no options, it cannot be definitively answered.
Question 6:
The question asks what a quantity that describes the characteristic of interest in a population is termed as. This is called a parameter. The original answer "Perimeter" is incorrect.