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A manufacturer is producing widgets for a weapon system. The specification requires that the widgets be...

A manufacturer is producing widgets for a weapon system. The specification requires that the widgets be produced to very specific dimensions.

The manufacturer collects a sample of 50 widgets and measures them, concluding that the sample variance (s2) of the widget length is 16 mm2.

Perform a hypothesis test with level of significance α = 0.05 to show that the variance of the widget length (σ2) is less than 25 mm2.

What is the conclusion of the test?
  • A.

    Reject the null hypothesis (H0).

  • B.

    Fail to reject the null hypothesis (H0).

  • C.

    The null hypothesis (H0) is true.

  • D.

    There is not enough information to answer the question.

Math   Statistics-And-Probability   
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