Results 1 to 2 of 2

Math Help - Tough t-distribution problem

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    26

    Tough t-distribution problem

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    \bar Y-\bar X\sim N(0,9\sigma^2/20)

    so {\bar Y-\bar X\over 3\sigma/\sqrt{20}}\sim N(0,1)

    Both \bar Y and \bar X are independent of S_X.

    And 3S^2_X/\sigma^2\sim\chi^2_3 or S^2_X/\sigma^2\sim\chi^2_3/3.

    Take the square root of this and take the ratio of the normal and the chi-square and you will have your t.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Tough ODE problem
    Posted in the Differential Equations Forum
    Replies: 12
    Last Post: September 22nd 2010, 03:02 PM
  2. tough problem 1
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: August 10th 2010, 05:01 AM
  3. tough probability distribution problem
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 29th 2009, 11:00 PM
  4. Tough Problem!
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: October 10th 2009, 11:02 PM
  5. Tough Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 14th 2008, 03:08 AM

Search Tags


/mathhelpforum @mathhelpforum