In: Statistics and Probability
For the following sample sizes of 100, 50, and 20 I got the following data values. I was asked the proportion of x students on a assingment with a vairiety of test scores. It asked for the proportion of students getting higher than a 69 and 90.
The population mean : 83.516 |
|
Sample of 100 mean = 81.91 | |
Sample of 50 = 81.74 | |
Sample of 20 = 84.05 |
for above 69 i got the following proportions
Population proportion = .886 |
Sample of 100 = .86 |
Sample of 50 = .86 |
Sample of 20 = .90 |
For above 90 I got
Population proportion = .162 |
Sample of 100 = .15 |
Sample of 50 = .02 |
Sample of 25 = .2 |
Do the following means and proportion values hold true to the central limit theorem? Why? Or Why not? What should the values do to uphold the central limit theorem?