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Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
/
Inference & Hypotheses
/
Problem Bank
IB Math AIHL
/
Inference & Hypotheses
/
Problem Bank

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[Maximum mark: 8]

Dr. Z thinks his class performed better on a recent exam than Mr. X's class. The scores of students in each class are displayed in the following table:


Score



Dr. Z

72

67

70

67

71



Mr. X

64

72

61

69

55

71

66

It is given that the scores in one class are independent of scores in the other.

Dr. Z decides to conduct a ​t​-test at the ​10%​ significance level.

  1. Write down the null and alternative hypotheses for this test.

    [1]
  2. Determine with justification the conclusion of this test.

    [5]
  3. State the two assumptions Dr. Z makes in using a ​t​-test.

    [2]
[Maximum mark: 8]

Dr. Z thinks his class performed better on a recent exam than Mr. X's class. The scores of students in each class are displayed in the following table:


Score



Dr. Z

72

67

70

67

71



Mr. X

64

72

61

69

55

71

66

It is given that the scores in one class are independent of scores in the other.

Dr. Z decides to conduct a ​t​-test at the ​10%​ significance level.

  1. Write down the null and alternative hypotheses for this test.

    [1]
  2. Determine with justification the conclusion of this test.

    [5]
  3. State the two assumptions Dr. Z makes in using a ​t​-test.

    [2]