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  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesFinancial Mathematics
Cartesian plane & linesFunction TheoryModelling
2D & 3D GeometryVoronoi Diagrams
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegration
Calculator Skills
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Perplex
IB Math AISL
/
Inference & Hypotheses
/
Problem Bank
IB Math AISL
/
Inference & Hypotheses
/
Problem Bank

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[Maximum mark: 6]

Robin works in an ice cream shop that serves chocolate, vanilla and strawberry flavored ice cream. Customers can choose to have their ice cream in a cup, a sugar cone or a waffle cone.


The following table shows the sorted record of orders made in a week.


Chocolate

Vanilla

Strawberry

Cup

​13​

​9​

​8​

Sugar cone

​7​

​16​

​7​

Waffle cone

​10​

​5​

​15​

Robin sets out to test whether the flavor of ice cream ordered is independent from the type of container chosen.

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

    [1]
    1 free
    1. State the number of degrees of freedom for the appropriate test.

    2. Calculate the ​χ2​ value.

      [3]

The critical value for this test is ​χ2=13.3.

  1. State with justification the conclusion to the test.

    [2]
[Maximum mark: 6]

Robin works in an ice cream shop that serves chocolate, vanilla and strawberry flavored ice cream. Customers can choose to have their ice cream in a cup, a sugar cone or a waffle cone.


The following table shows the sorted record of orders made in a week.


Chocolate

Vanilla

Strawberry

Cup

​13​

​9​

​8​

Sugar cone

​7​

​16​

​7​

Waffle cone

​10​

​5​

​15​

Robin sets out to test whether the flavor of ice cream ordered is independent from the type of container chosen.

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

    [1]
    1 free
    1. State the number of degrees of freedom for the appropriate test.

    2. Calculate the ​χ2​ value.

      [3]

The critical value for this test is ​χ2=13.3.

  1. State with justification the conclusion to the test.

    [2]