Question

15. Hypothesis Test for Heights of Supermodels The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor. They have a mean of 70.0 in. and a standard deviation of 1.5 in. Data Set 1 in Appendix B lists the heights of 40 women who are not supermodels, and they have heights with a mean of 63.2 in, and a standard deviation of 2.7 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. amole data from

Answer 1

15.)

Supermodele not Supermodels. 48.15) n = 9 n2= X2 40 63.2 S2 = 2.7 2 To si d=0.01 To test Hoi li lli - lz & Hillilla Test Statistica to = nt nitna-2.a to X - Me s² 23 + mu 02 To 63.2 (1:5)? (2:7).? + 40 10.3429 o to 1 tnit n2-2, & - t 4790.01 2:4083 Here Reject to 10:3429 7 2.4083 Hov

Conclusion: Since we reject Ho, there is sufficient evidence to support the claim that mean height of supermodels is greater than mean height of women who are not supermodel.

10.)

(8.10) Let us : Mapril - ll sept April BMI September BMI Defforense di -0.53 20.15 19:24 -0.24 : 20.77 23.85 21.32 20.68 19:48 19.59 24.57 20.96 -0,12 0.36 End = 0.05 - Xd 0.01 = 0.7711 وليد 95% confidence interval for F tn-lg / 2 n Cortid tigo.025 75 7 (2.7163 0.3448 0.ol + = 0.01 (-09473, 0.9673

The confidence interval includes 0. This we accept Ho and can say that BMI has not changed during the freshman year.