00:01
All right, so we have a normally distributed variable that has a population mean of 8 .7, standard deviation of 75 .1.
00:07
I'm not sure if that's an error, and it should be 7 .5 .1.
00:10
It looks a little off, but we'll go with it.
00:13
And we take a sample size of 36, and we want to find the cutoff for the 73 percentile, which cuts the top, the bottom 73 from the top 27 percent.
00:26
And since this is normal, this will be associated with the z -square.
00:31
And we can find that z score using a calculator or you can use a normal table.
00:36
If you use a calculator, we use inverse norm here.
00:39
And our area is going to be .73.
00:42
Our mean is zero or standard deviation is one.
00:44
And we want values to the tail to be on the left side.
00:49
And that'll give us the z score that separates that area that we're looking for.
00:55
And that gives us .6128...