Question

Exercise 9: A researcher is interested in the relationship between oral contraceptive (OC) use and blood pressure in women. Suppose a sample of ten 35-to 39 year old nonpregnant, premenopausal OC users who work in a company and have a mean systolic blood pressure (SBP) of 132.86 mm Hg and sample standard deviation of 15.34 mm Hg are identified. A sample of 21 nonpregnant, premenopausal, non-OC users in the same age group are similarly identified who have mean SBP of 127. 44 mm Hg and a sample standard deviation of 18.23 mm Hg. A

Answer 1

the solution to this problem is

Solution Giver data is Non-OC uses OC uses nia lo camble Size - n = 21 Sg amable SD 15.34 18.93 comble Meon 14= 13286 127.44 pooled Variance a 1 ( Con 125,2+ (now 28 hitng-2 I ((107)(15.34€ + (21-1) (18.33%) lotal-2 309.224 11 "1) Hoi Ho: M=42 Mi the S.Er(-2) = Hii 302.224 le + lo 21 =666794

Test Statistics t = S, E. (au-K9) zu - Kg 139.96 - 127.44 6.6794 t 10-value 0.8114 a Plt>0.8114) = 0.423746 (where prvaluare is (where calculated = 99 lo-value insefficient 0.423746 od elifthit nga At &=0.05 - luta 12 >d So we fail to Regeed Hoo Conclusion : Fail to Reject to the elander provide evidence to Corpude mean eleifference in blood pressure between two groups diffel The 95% CI Jos difference is means given by (su - kg) + ta Sf. hey) = (130.86-127-448+ (9.045)76-6794) to. 09 (89) 5.42 + 13.66 - 2.045 (5.49 - 13.66,5.42 + 13.66) (-8.24 19.08) from zero. is where tag

1-8.24, 19.08) Inteę pretation We are 95% confielent that the true mean difference between the 35 to 39 year old be and non DC between would be users -8.24 and 19.08 users