The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestrova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor. They have a mean height of 70.0 in. and a...

The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestrova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor. They have a mean height of 70.0 in. and a standard deviation of 1.5 in. Use a 0.01 significance level to test the claim that supermodels have heights with a mean that is greater than the mean height of 63.6 in for women in the general population. Given that there are only nine heights represented, can we really conclude that supermodels are taller than typical women