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

Let Xi, i = 1, 2, 3, 4, equal the distance (in yards) that a golf ball travels when hit from a tee, where i denotes the index of the i th manufacturer. Assume that the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4, when a ball is hit by a certain golfer. We shall test the null hypothesis H0: μ1 = μ2 = μ3 = μ4, using three observations of each random variable.

(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) What would your conclusion be if α = 0.025?

(d) What is the approximate p-value of this test?

The Ring Gyges.docx 1) What, exactly, is Glaucon's argument That is, what message does he want us to accept, and what material does he provide to support his message ● Everyone hates having injustice done to them, and laws are only put into place to avoid that mistreatment ● In the...