Practice Test GeeksBSIE - Bachelor of Science in Industrial Engineering Practice Test
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Probability & Statistics Flashcards

7 cards from real BSIE 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. Which nonparametric test is the rank-based alternative to the two-sample t-test?

    Answer: Mann-Whitney U test

    The Mann-Whitney U test (also called Wilcoxon rank-sum test) compares two independent groups without assuming normality.

  2. If a 90% confidence interval is (18, 26), which conclusion is correct?

    Answer: We are 90% confident the population mean lies between 18 and 26

    A confidence interval means that 90% of such intervals constructed from repeated samples would contain the true population mean.

  3. The F-distribution is primarily used in which statistical procedure?

    Answer: Analysis of Variance (ANOVA)

    ANOVA uses the F-statistic (ratio of between-group to within-group variance) to compare three or more group means.

  4. In simple linear regression y = β₀ + β₁x + ε, what does β₁ represent?

    Answer: Average change in y for a one-unit increase in x

    β₁ is the slope, representing the expected change in the response variable y per unit increase in the predictor x.

  5. A quality engineer takes samples of size n = 25 from a process with σ = 10. What is the standard error of the sample mean?

    Answer: 2.0

    Standard error = σ / √n = 10 / √25 = 10 / 5 = 2.0.

  6. Bayes' theorem is used to:

    Answer: Update prior probabilities based on new evidence

    Bayes' theorem updates the prior probability of a hypothesis to a posterior probability after observing new data or evidence.

  7. A continuous uniform distribution U(a, b) has variance equal to:

    Answer: (b − a)² / 12

    The variance of a continuous uniform distribution is (b − a)² / 12.