Question

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.

Answer 1