Listed below are the heights (inches) for the simple random sample of supermodels Lima, Bundchen, Ambrosio, Ebanks, Iman, Rubik, Kurkova, Kerr, Kroes, and Swanepoel. 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 63.8 in. for women in the general population. Given that there are only 10 heights represented, can we really conclude that supermodels are taller than the typical woman?

70 71 69.25 68.5 69 70 71 70 70 69.5

(Assume that the distribution of heights is normally distributed.)

Requirements:

1. The alternative hypothesis for this test (in words) is?

2. What is the critical region of the test?

3. The mean of the sample is equal to ___________________ and the sample standard deviation is equal to _____________.

4. What is the value of the test statistic?

5. What is the decision of the test?

6. What is the conclusion of the test?