Let X and Y denote the heights of blue spruce trees, measured in centimeters, growing in two large fields. We shall compare these heights by measuring 12 trees selected at random from each of the fields. Take α ≈ 0.05, and use the statistic W—the sum of the ranks of the observations of Y in the combined sample—to test the hypothesis H0: mX = mY against the alternative hypothesis H1: mX < mY on the basis of the following n1 = 12 observations of X and n2 = 12 observations of Y.
Answer to relevant QuestionsA charter bus line has 48-passenger and 38- passenger buses. Let m48 and m38 denote the median number of miles traveled per day by the respective buses. With α = 0.05, use the Wilcoxon statistic to test H0: m48 = m38 ...The outcomes on n = 10 simulations of a Cauchy random variable were −1.9415, 0.5901, −5.9848, −0.0790, −0.7757, −1.0962, 9.3820, −74.0216, −3.0678, and 3.8545. For the Cauchy distribution, the mean does not ...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 ...Let X1, X2, . . . , Xn be a random sample of size n from the normal distribution N(μ, σ02), where σ02 is known but μ is unknown. (a) Find the likelihood ratio test for H0: μ = μ0 against H1: μ ≠ μ0. Show that this ...In a psychology experiment, 140 students were divided into majors emphasizing left-hemisphere brain skills (e.g., philosophy, physics, and mathematics) and majors emphasizing right-hemisphere skills (e.g., art, music, ...
Post your question