Question

A study looked at the relationship between alcohol consumption and level of systolic blood pressure (SBP) in women not using oral contraceptives (OC). Alcohol consumption was categorized as follows: no alcohol use; s 10 oz/week alcohol consumption; > 10 oz/week alcohol consumption. The results for the SBP measurements for women 30-39 years of age are given below. Group A. No Alcohol Use B. s 10 oz/week alcohol consumption C. > 10 oz/week alcohol consumption Mean var 105.3 10.6 110.4 13.4 122.5 12.5 n 24 22 10 Conduct a two sample independent t-test to determine if women OC users ages 30-39 that consume > 10 oz/week of alcohol (define as Group 1) have a significantly higher SBP than women who consumed no alcohol (define as Group 2) with an alpha level of 0.05. The pooled standard deviations is 3.34.

Answer 1

Solution:

11. What are the null and alternative hypotheses? (2 pts) Η μΕ μ Ημ> μ b Η μς μ) Ηεl> μ Η Μ> μ H: μ - μ d. H μ- μ2; H: μlς μ2 12. What is the critical value? Round to 4 decimal places. (2 pts) a. t-2.622 b. t-1.96 C. t-1.645 We can find it using the excel function =TINV(0.05*2,32) d. t-1.6939 Where 32 is the degrees of freedom 13. What is the test statistic? Round to 2 decimal places. (3 pts) a. 30.03 b. 10.73 122.5-105.3 C. 5.56 =13.68 1 t = 1 3.34 10 24 1 1 - _ d. 13.68 n п, choaa co

14. Do women that consume > 10 oz/week of alcohol have significantly greater SBP than those who do not consume any alcohol? (2 pts) Fail to reject Ho because the test statistic is greater than the critical value. a. Fail to reject Ho because the test statistic is less than the critical value. b. Reject Ho in favor of Ha because the test statistic is greater than the critical value. c. Reject Ho in favor of HA because the test statistic is less than the critical value. d.