(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....