Central Limit Theorem

  • Thread starter cse63146
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  • #1
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Homework Statement



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?


Homework Equations





The Attempt at a Solution



Would I use this form of the CLT: [tex]\frac{\sqrt{n}(\overline{x} - \mu)}{\sigma}[/tex]
 

Answers and Replies

  • #2
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No one has responded, so I think I'll weigh in - yes, that's the statistic to use, with n = 180.
 
  • #3
452
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That's what I thought; thanks.
 

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