Question

3. (4 points) Let X equal the number of pounds of butterfat produced by a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, σ2-1402). To test the null hypothesis Ho : μ-175 against the alternative hypothesis Ha : u 715, let the crtical region be defined by 668.94, where x is the sample mean of n 25 butterfat weights from 25 cows selected at random (a). What is the a level of the test? (b). What is the power if we assume effect size -46.06 (c). Suppose we have following 25 observations of X 425 710 661 664 732 714 934 761 744 653 725 657 421 573 535 602 537 405 874 791 721 849 567 468 975 what is the p-value of the test?

Answer 1

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