(In some of the exercises that follow, we must make assumptions, such as normal distributions with equal variances.)

Let X1,X2,X3,X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assume that the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4. We shall test the null hypothesis H0: μ1 = μ2 = μ3 = μ4, using seven observations of each Xi.

(a) Give a critical region for an α = 0.05 significance level.

(b) Construct an ANOVA table and state your conclusion, using the following data:

(c) Give bounds on the p-value for this test.

(d) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagram.

Math 1310: College Algebra Course Syllabus Section number: This information applies to ALL facetoface sections Delivery format: facetoface lecture Prerequisites: MATH 1300: Fundamentals of Mathematics or a passing score on the test for placement into College Algebra. Textbook: Available in electronic form (PDF) through CASA for all enrolled students. The information contained in this class outline is an abbreviated description of the course. Additional important information is contained in the departmental policies statement at http://www.math.uh.edu/~dog/13xxPolicies.doc and at your instructor’s personal webpage. You are responsible for knowing all of this information. Upon successful complet