# Question

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 exist, but for this one, the median is believed to equal zero. Use the Wilcoxon test and these data to test H0: m = 0 against the alternative hypothesis H1: m ≠ 0. Let α ≈ 0.05.

## Answer to relevant Questions

Let m equal the median of the posttest grip strengths in the right arms of male freshmen in a study of health dynamics. We shall use observations on n = 15 such students to test the null hypothesis H0: m = 50 against the ...Let X be N(μ,100). To test H0: μ = 80 against H1: μ > 80, let the critical region be defined by C = {(x1, x2, ... , x25) : x ≥ 83}, where x is the sample mean of a random sample of size n = 25 from this ...Referring back to Exercise 6.4-19, find the likelihood ratio test of H0: γ = 1, μ unspecified, against all alternatives. It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p = 0.30. Three students got together, and they would each spin a penny and record the number X ...A particular process puts a coating on a piece of glass so that it is sensitive to touch. Randomly throughout the day, pieces of glass are selected from the production line and the resistance is measured at 12 different ...Post your question

0