3. 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 required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in?; the inspection team decides to test H: u = 100 versus H; u > 100. Explain why it might be preferable to use this H, rather than u < 100.

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3. 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 required to break the
weld. Suppose the specifications state that mean strength of
welds should exceed 100 lb/in?; the inspection team decides
to test H: u = 100 versus H: µ > 100. Explain why it
might be preferable to use this H rather than µ < 100.
4. Let u denote the true average radioactivity level (picocuries
per liter). The value 5 pCi/L is considered the dividing line
between safe and unsafe water. Would you recommend testing
Hj: µ = 5 versus H;: µ > 5 or Hj: µ = 5 versus H,: µ < 5?
Transcribed Image Text:3. 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 required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in?; the inspection team decides to test H: u = 100 versus H: µ > 100. Explain why it might be preferable to use this H rather than µ < 100. 4. Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Hj: µ = 5 versus H;: µ > 5 or Hj: µ = 5 versus H,: µ < 5?
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