Question

A golfer claims that his median golf score at the course he plays regularly is less than 90. The following random sample from 11 rounds were collected to test this hypothesis.

88 85 93 86 86 90 94 88 87 87 84

The appropriate nonparametric procedure for this analysis is the _________________test A) Wilcoxon rank-sum B) chi-square C) F D) sign

please give an explanation

Answer 1

Answer: D) Sign test

The appropriate nonparametric procedure for this analysis is the sign test.

Explanation:

We are given a single sample and therefore we use sign test for the median. If there are two samples, then we use Wilcoxon rank-sum test instead of sign test. In this sign test, we check whether the observations below the median and above the median are same or not. We use chi square test for goodness of fit or independence of categorical variables, while we use F test for difference between population variances or ANOVA table.