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CSSBB Practice Questions (Review Mode) - 3. Hypothesis Testing

How well do you understand Hypothesis Testing?

  • 25 exam-style CSSBB questions focused on Hypothesis Testing
  • Full explanation for every question
  • Mobile friendly, no install required
  • Instant feedback as you answer
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Free sample questions

3 questions from this set, shown in full with the correct answer and the reasoning behind it. Read them as a study resource.

  1. Q1.A process is claimed to have a mean of 100. A sample of 36 gives xˉ=103\bar{x} = 103, and the population standard deviation is known to be 6.

    What is the test statistic?

    • A.z=3.00z = 3.00✓ Correct answer
    • B.z=0.50z = 0.50
    • C.z=18.00z = 18.00
    • D.z=0.08z = 0.08

    Explanation

    With σ\sigma known, the statistic is standardized by the standard error of the mean:

    z=xˉ−μ0σ/n=103−1006/6=3.00z = \frac{\bar{x} - \mu_0}{\sigma / \sqrt{n}} = \frac{103 - 100}{6/6} = 3.00

    The value 0.50 divides by σ\sigma instead of by the standard error, ignoring the sample size entirely.

    Reference: CSSBB BoK VI

  2. Q2.A one-way ANOVA gives a between-groups mean square of 24 and a within-groups mean square of 6.

    What is the F statistic?

    • A.0.25
    • B.18
    • C.144
    • D.4✓ Correct answer

    Explanation

    The F ratio compares explained variation with unexplained variation:

    F=MSbetweenMSwithin=246=4.0F = \frac{MS_{between}}{MS_{within}} = \frac{24}{6} = 4.0

    The value 0.25 inverts the ratio, which would test the wrong direction entirely.

    Reference: CSSBB BoK VI

  3. Q3.A chi-square test of independence is applied to a contingency table with 3 rows and 4 columns.

    How many degrees of freedom does the test have?

    • A.7
    • B.11
    • C.6✓ Correct answer
    • D.12

    Explanation

    Degrees of freedom for a contingency table are the product of the reduced dimensions:

    df=(r−1)(c−1)=(3−1)(4−1)=6df = (r-1)(c-1) = (3-1)(4-1) = 6

    The value 12 is the number of cells and 11 is the cell count minus one, both of which ignore the marginal constraints.

    Reference: CSSBB BoK VI

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What you get

How well do you understand Hypothesis Testing?

  • 25 exam-style CSSBB questions focused on Hypothesis Testing
  • Full explanation for every question
  • Mobile friendly, no install required
  • Instant feedback as you answer

Strengthen Your Understanding of Hypothesis Testing

Preparing for the ASQ Certified Six Sigma Black Belt exam?

This paid 25-question practice quiz focuses specifically on Hypothesis Testing, an important topic within the CSSBB Body of Knowledge.

The questions include a practical mix of:

  • Null and alternative hypotheses
  • Type I and Type II errors
  • Significance level, p-value, and power
  • One-tailed and two-tailed tests
  • Z-tests and t-tests
  • Tests for means, proportions, and variances
  • Interpreting test statistics and conclusions
  • Workplace scenarios and short calculations

Learn from Every Question

This quiz is offered in Review Mode, so you will see the correct answer and a clear explanation immediately after each response.

Each explanation helps you understand:

  • Why the correct answer is right
  • Which hypothesis-testing concept is being tested
  • Why the other options are less appropriate
  • How the concept may appear in a CSSBB-style question

The goal is not simply to check your score. It is to help you understand how hypothesis tests are selected, calculated, interpreted, and applied in Six Sigma projects.

Part of the Paid CSSBB Practice Package

This 25-question quiz is included in the complete CSSBB Practice Test Package.

Use it to:

  • Strengthen your understanding of hypothesis testing
  • Identify gaps in test selection and interpretation
  • Practise calculations and decision-making
  • Improve your confidence before the CSSBB exam
  • Learn from detailed explanations as you progress

Ready to Test Your Hypothesis Testing Knowledge?

Complete the 25-question Review Mode quiz and use every incorrect answer as a guide for further study.

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