PROBLEM 6E

Let X equal the butterfat production (in pounds) of a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, 1402). To test the null hypothesis H0: μ = 715 against the alternative hypothesis H1: μ < 715, let the critical region be defined by is the sample mean of n = 25 butterfat weights from 25 cows selected at random.

(a) Find the power function K(μ) for this test.

(b) What is the significance level of the test?

(c) What are the values of K(668.94) and K(622.88)?

(d) Sketch a graph of the power function.

(e) What conclusion do you draw from the following 25 observations of X?

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

Test of EssentialAcademic Skills (TEAS) Preparation Resource Guide T here are many resources available to help test-takers prepare for the TEAS. TEAS Study Manual The TEAS study manual is an essential tool for test preparation. Test-takers can purchase a copy of the manual at any one of Montgomery College’s main bookstores or online at www.atitesting.com. Copies of the manual are also located in the College’s libraries. Scope and Explanation structure of of topics to the exam review Practice