00:01
So we want to perform a one sample z test.
00:05
And why do we know it's a z test? because we're given the population standard deviation is $3 .10.
00:12
And so we will be assuming that the mean is, as they claim, is $35 per lawn on the average.
00:21
And alternately, it's less than that.
00:26
And so our sample size is only 18, but we're told to assume we have a normal distribution.
00:34
So this smaller sample size is just fine to use, and we will continue with our test.
00:40
So our sampling distribution of x bar, we will assume that it centers at 35, and that its standard air would be that $3 .10 divided by the square rate of 18.
00:54
So that's how that sampling distribution would work.
00:56
And they get a sample mean of $32...