00:01
Hey there, welcome to numerate.
00:03
So we're giving a sample size of 81 items here, and we're asked to find the probability that the sample mean will exceed 198, given the population mean and standard deviation here.
00:18
So let's write these values down.
00:21
We have a sample size of 81 items, a population mean that is given to us as 195, and a population standard deviation that's also given to us as 15.
00:41
So let's double -check these values here.
00:46
So we have sample size 81, population mean 195, population standard deviation, 15.
00:57
All right.
00:59
So now to write our probability here, we basically have our x mean.
01:06
Will exceed, will be meaning that is greater than 198.
01:13
So in order to find this probability here, we would have to set up a z score equation.
01:18
We have our sample mean as 198, minus our population mean of 195, divided by our population standard deviation of 15, divided by the square root of our sample size 81...