Central Limit Theorem and Sampling Distributions in Statistical Quality Control
24 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What do control charts deal with in quality engineering?

  • Online quality control (correct)
  • Product design
  • Offline quality control
  • Design of experiments

Which type of control methods are typically used in the design phase of a product/process/service?

  • Experimental control methods
  • Off-line control methods (correct)
  • Statistical control methods
  • Online control methods

What was the example given for optimal experimental design and ANOVA in the USA?

  • Engineering process design
  • Injection molding process design
  • Fisher's experimental design (correct)
  • Control charts design

What is the output response that was considered for the Improvement of Injection Molding Process as mentioned in the text?

<p>Injection pressure (minimize) (A)</p> Signup and view all the answers

How many input factors were considered for mold design in the engineering example provided?

<p>4 (B)</p> Signup and view all the answers

What does DoE stand for in the context provided in the text?

<p>Design of Experiments (B)</p> Signup and view all the answers

What condition must be satisfied for the Central Limit Theorem (CLT) to work well in Statistical Quality Control (SQC) problems?

<p>The individual random variables must be identically distributed (D)</p> Signup and view all the answers

Which distribution is followed by the sum of squares of standard normally distributed independent random variables?

<p>Chi-squared distribution (A)</p> Signup and view all the answers

What happens to the distribution of a chi-squared random variable when the degrees of freedom increase?

<p>It approaches a normal distribution (C)</p> Signup and view all the answers

In ANOVA, if the null hypothesis is rejected, what does this indicate about the groups being compared?

<p>There is a significant difference between at least one pair of groups (A)</p> Signup and view all the answers

What type of graphs can be used to visualize ANOVA results in Minitab?

<p>Boxplot (B)</p> Signup and view all the answers

Which distribution results from the ratio of two independent chi-squared distributed variables?

<p>F distribution (C)</p> Signup and view all the answers

What is the purpose of robust design using Taguchi Methods?

<p>Maximize yield (profit) and minimize cost (B)</p> Signup and view all the answers

In the Statapult example, what does ANOVA stand for?

<p>Analysis of Variance (C)</p> Signup and view all the answers

What is the concept behind the Central Limit Theorem (CLT)?

<p>It defines the distribution of the sum of independent random variables (A)</p> Signup and view all the answers

What do the levels in Plasma Etching represent?

<p>Different power settings used during etching (B)</p> Signup and view all the answers

'Does setting significantly affect traveling distance?' What statistical method could help answer this question?

<p>Analysis of Variance (ANOVA) (D)</p> Signup and view all the answers

What is the main goal of identifying key decision variables in screening experiments?

<p>Identify factors to maximize yield and minimize cost (C)</p> Signup and view all the answers

What is the null hypothesis in the ANOVA Means Model?

<p>𝜇1 = 𝜇2 = ... = 𝜇𝑎 (B)</p> Signup and view all the answers

Which component is considered as random in ANOVA Grand Mean Random Error Component?

<p>𝜎 2 (B)</p> Signup and view all the answers

In ANOVA Calculations, what does 𝑆𝑆𝑇 represent?

<p>Total sum of squares (B)</p> Signup and view all the answers

What distribution does 𝐹0 follow if 𝐻0 is true in ANOVA?

<p>F distribution (A)</p> Signup and view all the answers

Which parameter determines whether to reject the null hypothesis in ANOVA?

<p>𝐹𝛼,𝑎−1,𝑎(𝑛−1) (D)</p> Signup and view all the answers

What does the Treatment Effect refer to in the Linear Statistical Model?

<p>Effect due to level i (A)</p> Signup and view all the answers

More Like This

Use Quizgecko on...
Browser
Browser