# Central Limit Theorem

1. Dec 15, 2009

### cse63146

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: $$\frac{\sqrt{n}(\overline{x} - \mu)}{\sigma}$$

2. Dec 16, 2009

### Staff: Mentor

No one has responded, so I think I'll weigh in - yes, that's the statistic to use, with n = 180.

3. Dec 16, 2009

### cse63146

That's what I thought; thanks.