{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

IEOR 165 Lecture 10 June 16 2009 Homework 3 Review

IEOR 165 Lecture 10 June 16 2009 Homework 3 Review -...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture Notes IEOR 165 | George Shanthikumar Tu W Th 2-4:30 pm | 3113 Etcheverry Hypothesis test ,…, x1 xn sample data = , = , , Test whether mean μ not greater or less than value Two Cases: - know σ2 variance - Do not know variance - 1 st Case We know the variance: - TEST 1 with Confidence Intervals - = H0 μ μ0 = H1 μ not μ0 - - ~ , xbar μσn N0 1 : Using confidence intervals - % : 1 α100 CI - < - < = - P zα2 xbar μσn zα2 1 α - > Reject H0 if xbar μσn zα2 - If it was in the interval, then we CANNOT REJECT H0 - - Test 2 with P Value - - = - p value 2PZ xbar μσn - Reject H0 at any significance level > p-value - - 2 nd Case: We DON’T KNOW VARIANCe - S2sample variance - = H0 μ μ0 H1 μ μ0 - - ~ - xbar μSn tn 1 - - , - * , + , - * xbar tα2 n 1 Sn xbar tα2 n 1 Sn - = - ≥ - p value 2Ptn 1 xbar μ0Sn - - 2 distributions - ,… x1 xn sample data : means of 2 normal distributions ,…, ,…, x1 xn and y1 ym - - Known variance: - - - - + ~ ( , ) xbar ybar μx μyσx2n σy2m N 0 1 - : = H0 μx μy : = H1 μx not μy - TEST 1 Use confidence intervals:
Image of page 1

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

View Full Document Right Arrow Icon
Lecture Notes IEOR 165 | George Shanthikumar Tu W Th 2-4:30 pm | 3113 Etcheverry - - % : ( - - + , - + + 1 α100 CI
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ 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