Results 1 to 3 of 3

Math Help - Central limit theorem?

  1. #1
    Member
    Joined
    Mar 2010
    Posts
    96

    Central limit theorem?

    Laser length tool has an average error of 0cm, and the standard deviation error of 1 cm.

    We are measuring the length of a table. And we repeat that 20 times. What is the probability that the error is less than 0.5 cm?

    I understand it like this;

    The laser tool is distributed normal:

    X = N(0,1)

    We take the 20 mesaurments of the table, and that is also distributed normal like this:

    Y = N(0,\frac{1}{\sqrt{20}})

    So with this Y value, I calculate with \phi function and look at the standard normal distribution table, and get..

    \phi(\frac{0.5-0}{0.2236}) = 0.98



    Is this correct?, Or I have missed something?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Mar 2010
    From
    Mumbai
    Posts
    91
    Thanks
    2

    Re: Central limit theorem?

    yes, you are correct.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: Central limit theorem?

    modified.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Central Limit Theorem
    Posted in the Statistics Forum
    Replies: 6
    Last Post: February 24th 2011, 12:07 AM
  2. Central limit theorem
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: January 4th 2010, 06:15 AM
  3. Central Limit Theorem
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: December 8th 2009, 10:49 PM
  4. Central Limit Theorem.
    Posted in the Advanced Statistics Forum
    Replies: 7
    Last Post: May 27th 2009, 05:59 AM
  5. Central Limit Theorem
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: November 12th 2008, 09:05 PM

Search Tags


/mathhelpforum @mathhelpforum