5. Hypothesis Test for Heights of Supermodels The heights are measured for the simple random sample of nine supermodels (Crawford, Bundchen, Pestova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor). They have a mean of 69.0 in. and a standard deviation of 1.6 in. The heights of 40 women, who are not supermodels, have a mean of 63.6 and a standard deviation of 2.65 in.
Use a 0.01 significance level to test the claim that the mean height of supermodels is greater than the mean height of women who are not supermodels. Assume σ1 = σ2
a) State the hypotheses. (3 points)
b) Find the critical value. (3 points)
c) Find the test statistic. (3 points)
d) Use the traditional method to make a decision on the null hypothesis. (3 points)
e) Find the P-value. (3 points)
f) Use the P-value method to make a decision on the null hypothesis. (3 points)
g) State your conclusion in the context of the problem. (2 points)