3. To determine whether the girder welds in a new performing arts center meet speci cations, a...

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3. To determine whether the girder welds in a new performing arts center meet speci cations, a random H0: S21

S22

, Ha: S21

S22 H: X Y 5 H: x ~ 45 sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the speci cations state that mean strength of welds should exceed 100 lb/in2; the inspection team decides to test H0: m 100 versus Ha: m 100. Explain why it might be preferable to use this Ha rather than m 100.

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