INSTRUCTIONS
Once the applet has finished loading, a "Lab-value" buttonwill appear
on the screen. This may take a minute or two depending on the speed of
your internet connection and computer. Please be patient. If no begin button
appears, it is probably because your browser does not support Java 1.1.
The one-sample t statistic is also used for purpose of statistical inference on the population mean mu. If we do not know the value of the population variance sigma square and must estimate it with s square, then the resulting test statistic
t=(XBar-mu)/(s/square root n)
has a t (n-1) distribution if the parent population is normally distributed. An important assumption here is that the parent distribution is from the normal family. In this subsection, we will examine the effect of changes in sample size, of non-normal parent distributions, and of a combination of both on the proportion of Type I errors for this statistic.
There will be a table show the comparation from the percentiles of the theoretical normal distribution to the histogram. The first column of numbers (which includes 2.5, 5.0..., 97.5) are areas to the left of the numbers in the second column for the theoretical(standard t (n-1))distribution. The third column of numbers are percentiles from the histogram. The numbers in the fourth column are the areas from the histogram to the left of the percentiles in the second column.