To determine whether the pipe welds in a nuclear power plant meet specifications

Question

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force requires to break the weld Suppose the specifications state that mean strength of welds (mu) should exceed 100 lb/in^2; the inspection team decides to test H_0: mu lessthanorequalto 100 versus H_0: mu > 100. Explain why it might be preferable to use H_A: mu > 100 rather than H_A: mu

Explanation / Answer

It is clearly mentioned in the question that they want know whether it meet the specification .Here the specification is the mean strength of welds should exceed 100

Hence they have to test mean>100

So they consider this in the alternate hypothesis rather than mean< 100.

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