Results 1 to 3 of 3

Math Help - Chi square problem

  1. #1
    Banned
    Joined
    Dec 2009
    Posts
    24

    Chi square problem

    Question : The following table gives the observed and expected frequencies in tossing a dice 120 times. For testing the hypothesis that the dice is fair, one is required to compute \chi^2.Find its value


    \begin{array}[/font]{|c|c|c|c|c|c|c|}Dice \ face & 1 & 2 & 3 & 4 & 5 & 6 \\<br />
Observed \ freq & 25 & 17 & 15 & 23 & 24 & 16 \end{array}
    --------------------------------My Work-----------------------------------------

    \chi^2 = \frac{(f_0 - f_e)^2}{f_e}

    The dice are tossed 120 times

    Pr(Of on face of die) = \frac{1}{6}

    Freq of a die face = \frac{\frac{1}{6}}{120} = 20

    \therefore<br />
\chi^2 = \frac{(25-20)^2}{20} + \frac{(17-20)^2}{20} + \frac{(15-20)^2}{20} + \frac{(23-20)^2}{20} + \frac{(24-20)^2}{20} + \frac{(16-20)^2}{20} .....................Am i doing it correctly or no please let me know

    regards
    wolfy
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    this seems right, it should be a chi-square with 5 dfs.
    http://en.wikipedia.org/wiki/Goodness_of_fit
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Dec 2009
    Posts
    24
    thanks man
    muchas gracias
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. square problem
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 17th 2010, 05:32 AM
  2. 100 Square problem
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: December 11th 2009, 11:28 AM
  3. two-square problem
    Posted in the Number Theory Forum
    Replies: 5
    Last Post: November 29th 2009, 03:26 AM
  4. Chi-Square problem
    Posted in the Statistics Forum
    Replies: 0
    Last Post: November 23rd 2008, 05:43 PM
  5. Chi Square Problem Question!!
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 15th 2008, 11:52 AM

Search Tags


/mathhelpforum @mathhelpforum