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Central Limit Theorem

  1. Dec 15, 2009 #1
    1. The problem statement, all variables and given/known data

    Each of 180 students in an evening stats and methods class is asked to generate 64 random numbers with a "spinner" that selects numbers from 1 to 50, and then compute the mean of the 64 numbers. The mean for the class as a whole is 27 with a standard deviation of 20. How many of the students would be expected to have their sample means less than 23.25?


    2. Relevant equations



    3. The attempt at a solution

    Would I use this form of the CLT: [tex]\frac{\sqrt{n}(\overline{x} - \mu)}{\sigma}[/tex]
     
  2. jcsd
  3. Dec 16, 2009 #2

    Mark44

    Staff: Mentor

    No one has responded, so I think I'll weigh in - yes, that's the statistic to use, with n = 180.
     
  4. Dec 16, 2009 #3
    That's what I thought; thanks.
     
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