A trading magazine wants to determine the number of hours stockbrokers work each week. In particular, the trading magazine wants to determine if the median numbers worked per week differs from 100 hours. The magazine samples 18 traders. For the Wilcoxon signed-rank test, the value of the test statistic is T = T⁺ = 153. Given the sample size, the sampling distribution of T can be approximated by the normal distribution with mean and standard deviation ________, respectively. A) 85.50, 527.25 B) 22.96, 527.25 C) 22.96, 85.50 D) 85.50, 22.96

Question

Quizplus · Accepted Answer

For the Wilcoxon signed-rank test, the mean of the sampling distribution of T is n(n+1)/4 and the standard deviation is sqrt(n(n+1)(2n+1)/24). For n=18, the mean is 85.50 and the standard deviation is 22.96.

A Trading Magazine Wants to Determine the Number of Hours