Results 1 to 2 of 2

Math Help - Type I Error

  1. #1
    Junior Member
    Joined
    Jul 2007
    Posts
    69
    Awards
    1

    Type I Error

    Problem:Probability of Type I Error
    Null:u>=50
    Alt: u<50
    .025 for level of sig.
    var=16

    Assume n=16 and the true mean=50.5
    I am really not sure how to solve this as our ex. refer to the null hypothesis as being less than or equal to.
    For example do i start like:

    C={Xbar; (Xbar-50)/(4/sqrt16)}={Xbar-50>c}

    C={Xbar; Xbar>50+1.96} (c=1.96)

    P{Z> (51.96-50.5)}...?

    Any help is greatly appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Are you asking for the probability of the type TWO error, when the mean is 50.5?
    That doesn't make much sense either since 50.5 is not in the region defined by your alternative hypothesis.

    The probability of the type one error is alpha, which you say is .025.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Type I and Type II error
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: November 26th 2011, 07:42 AM
  2. type 1 error and type 2 error
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: November 21st 2010, 09:56 PM
  3. Type I/II Error
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 3rd 2009, 08:30 PM
  4. Type 1 error and Type 2 Error
    Posted in the Statistics Forum
    Replies: 3
    Last Post: September 20th 2008, 04:58 PM
  5. Type 1/ Type 2 Error Question
    Posted in the Statistics Forum
    Replies: 4
    Last Post: August 3rd 2008, 06:51 AM

Search Tags


/mathhelpforum @mathhelpforum