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(,1402) To test the null hypothesis H0 715 against the alternative hypothesis H1 (a) Find the power function K() for this test (b)...

a K Px 66994 P Z 66894 1405 66894 1405 b a K715 6689471 ...

Let X equal the butterfat production (in pounds) of a Holstein cow during the 305-day milking period

Question:

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 of X is N(Î¼,1402). To test the null hypothesis H0: Î¼ = 715 against the alternative hypothesis H1: Î¼ (a) Find the power function K(Î¼) 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?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...