Given a sample mean. X = 515. a sample standard deviation, s = 9. and a sample size, n = 6. what is the absolute value of the Student's t statistic to test if the sample mean is equal to the population mean, U = 500?
Answer : B
The Student's t statistic is calculated as follows:
t = (X - ) / (s / n)
Given:
Sample mean (X) = 515
Population mean () = 500
Sample standard deviation (s) = 9
Sample size (n) = 6
t = (515 - 500) / (9 / 6) = 15 / (9 / 2.45) 3.73
Montgomery, D.C., & Runger, G.C. (2010). Applied Statistics and Probability for Engineers. Wiley.
Which of the following types of "voice" is most effective in written communication?
Answer : A
In written communication, using the active voice is most effective because it is clear and direct. Active voice makes it easier for the reader to understand who is doing what, leading to less ambiguity. For example, 'The manager approved the request' is clearer than 'The request was approved by the manager.' Reference: 'The Elements of Style' by Strunk and White, which advises using active voice for clarity and precision in writing.
The values of two different variables are related to each other such that an increase in the value of the first variable is accompanied by a decrease in the value of the second variable. If the variables are perfectly correlated, their correlation coefficient will be equal to
Answer : D
The correlation coefficient measures the strength and direction of a linear relationship between two variables. A correlation coefficient of -1.0 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases.
Moore, D.S., McCabe, G.P., & Craig, B.A. (2017). Introduction to the Practice of Statistics. W.H. Freeman.
Montgomery, D.C. (2009). Introduction to Statistical Quality Control. Wiley.
A process has the following output characteristics:
Mean = 28.65
Median = 24
Mode = 20
The uniniodal distribution with these characteristics is defined as
Answer : D
If a value assigned to a unit is non-numerical, it is described as qualitative. Qualitative data describes attributes or characteristics that do not have a numerical value. Examples include descriptions such as color, type, or category.
Montgomery, D. C. (2017). Design and Analysis of Experiments. John Wiley & Sons.
ASQ (American Society for Quality) - Types of Data: ASQ Glossary
As a commonly used problem solving technique, which of the following would be the BEST application of a Pareto chart?
. To determine when to make proactive adjustments to a process.
. To differentiate between major and minor problem areas.
. To gather data and to design experimental controlled changes.
. To evaluate the results of other problem solving techniques upon the product or service.
Answer : C
Which of the following tools can be used to determine the best option from many choices based on their importance and merits?
Answer : D
A prioritization matrix is a tool that helps determine the best option from many choices based on their importance and merits. It evaluates and prioritizes different options using specific criteria and assigns scores to facilitate decision-making.
'The Quality Toolbox' by Nancy R. Tague
ASQ Quality Tools
Rank in order, from most to least effective, the controls for mitigating risk.
1. Safety devices
2. Design change
3. Training
Answer : C
The most effective controls for mitigating risk are generally ranked as follows: 2. Design change: It is the most effective as it eliminates hazards at the source by redesigning the product or process.
Safety devices: These provide protection by incorporating safety mechanisms into the design but are secondary to eliminating the hazard.
Training: It is the least effective as it relies on human behavior and adherence to procedures.
Manuele, F.A. (2014). Advanced Safety Management: Focusing on Z10 and Serious Injury Prevention. Wiley.
ISO 31000:2018. (2018). Risk Management -- Guidelines. ISO.