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Engineering Statistics and Data-Driven Decision Making Flashcards

7 cards from real BSE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A 95% confidence interval for the mean diameter of a part is (49.8 mm, 50.2 mm). Which interpretation is correct?

    Answer: If the procedure were repeated many times, 95% of such intervals would contain the true mean

    A confidence interval is a procedure such that, in repeated sampling, 95% of constructed intervals will contain the true population mean.

  2. In statistical process control, a process is said to be 'in control' when:

    Answer: Only common cause variation is present

    A process is in statistical control when only common (random) cause variation is present, with no special (assignable) causes affecting the process.

  3. An engineer computes a p-value of 0.03 in a hypothesis test with a significance level of α = 0.05. The correct conclusion is:

    Answer: Reject H₀ because 0.03 < 0.05

    When the p-value (0.03) is less than the significance level α (0.05), there is sufficient evidence to reject the null hypothesis.

  4. Which of the following is a nonparametric alternative to the one-sample t-test?

    Answer: Wilcoxon signed-rank test

    The Wilcoxon signed-rank test is the nonparametric equivalent of the one-sample t-test, used when normality cannot be assumed.

  5. Process capability index Cpk is different from Cp because Cpk:

    Answer: Accounts for process centering relative to specification limits

    Cpk adjusts for how well-centered the process is between the specification limits, making it a more accurate measure when the process mean is not centered.

  6. In a multiple regression model, multicollinearity refers to:

    Answer: High correlation among independent predictor variables

    Multicollinearity occurs when two or more independent variables in a regression model are highly correlated, making it difficult to isolate their individual effects.

  7. Which data visualization technique is best suited for identifying the primary causes of a quality problem using the 80/20 rule?

    Answer: Pareto chart

    A Pareto chart ranks causes by frequency or impact, visually identifying the vital few causes (approximately 20%) that account for most (approximately 80%) of the problems.