00:01
Hey there, welcome to numerate.
00:04
We are asked to find the value of the test statistic, relative to two decimal places for the mpg of the manufacturer's rating.
00:18
So with this, we're going to start by writing the equation of our test statistic.
00:26
So our equation here would be based on a z distribution, so we're writing z scores since we're given the population standard deviation.
00:36
So we have x bar as our sample mean minus population mean mu divided by the population standard deviation sigma divided by the square root of our sample size.
01:00
So our sample size here testing 190 vans.
01:07
So we're going to plug in our values here.
01:18
We have a sample mean of 59 .9 minus 59 .7 divided by the standard deviation of 2 .6, which is divided by the square root of our sample size 190.
01:51
So therefore, we get a test statistic of, so let's see what we get...