Central Limit Theorem and Sampling Distributions in Statistical Quality Control
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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)</p> Signup and view all the answers

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

    <p>4</p> Signup and view all the answers

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

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

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

    <p>Boxplot</p> Signup and view all the answers

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

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

    What is the purpose of robust design using Taguchi Methods?

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

    In the Statapult example, what does ANOVA stand for?

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

    What do the levels in Plasma Etching represent?

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

    What is the null hypothesis in the ANOVA Means Model?

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

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

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

    In ANOVA Calculations, what does 𝑆𝑆𝑇 represent?

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

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

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

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