Hw9_solutions_to_POST - 8 Devore Sec 8.1(p.324-325 3 Ho =...

Info icon This preview shows pages 1–2. Sign up to view the full content.

8) Devore Sec 8.1 (p.324-325) # 3 : H o : μ = 100 H a : μ > 100 In this formulation, H o states the welds do not conform to specification. This assertion will not be rejected unless there is strong evidence to the contrary. Thus if the null hypothesis is rejected, the alternate must be assumed, which is equivalent to saying that the welds satisfy the specification. Thus H a : μ > 100 must be the case, or the welds can never be proven to meet the specification. Using H a : 100 < μ results in the welds being believed in conformance unless provided otherwise, so the burden of proof is on the non-conformance claim. # 4 : When the alternative is H a : 5 < μ (safe), the formulation is such that the water is believed unsafe until proved otherwise. A type I error involved deciding that the water is safe (rejecting H o ) when it isn’t (H o is true). This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. A type II error involves judging the water unsafe when it is actually safe.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.
  • Fall '08
  • Stedinger
  • #, Type I and type II errors, two-tailed test

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern