MGMT305 HW #4- Assignment- Due March 20 th Quiz- March 20 th Problems: Questions 1-9 are from Anderson Sweeney Williams, 11edition. Chapter-10 1. #14. Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? Salary data show staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune, January 15, 2007). Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results. Tampa Dallas n 1 =40 n 2 =50 =$56,100 , s 1 =$6000 =$59,400,S 2 =$7000 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use α = .05. H0: u1 – u2 >= 0 Ha: u1 – u2 < 0 b. What is the value of the test statistic? T=((x bar 1 – x bar 2) -0)/(sqrt(s2/n1)+(s2/n2)) = (56100-59400-0)/ (sqrt(6000^2/40+7000^2/50) = -2.41 c. What is the p-value? Degree of freedom: (6000^2/40+7000^2/50)^2/(1/40-1)(6000^2/40)^2+(1/50-1) (7000^2/50)^2 = 87.55 Round down = 87df, p(0.005, 0.01) (t= -2.41) = 0.009 d. What is your conclusion? 0.009<=0.05, reject H0, nurse salary in Tampa lower than Dallas. 2. #16. The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker’s parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. During 2003, the overall mean SAT verbal score was 507 (The World Almanac, 2004 ). SAT verbal scores for independent samples of students follow. The first sample shows the SAT verbal test scores for students whose parents are college graduates with a bachelor’s degree. The second sample shows the SAT verbal test scores for students whose parents are high school graduates but do not have a college degree.( SATVerbal.xls ) a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean verbal score on the SAT if their parents attained a higher level of education.
- Spring '10
- Statistics, Mean, Null hypothesis, Statistical hypothesis testing