Identify two nonparametric tests that could be used as an al

Identify two nonparametric tests that could be used as an alternative to the parametric test H_0: = 75 vs H_1 > 75? Which one of the two nonparametric tests identified would be the more appropriate test to use if the sample data appeared to come from a light-tailed distribution (e.g uniform distribution)? Why?

Solution

Sol)

Parameteric Test for H_0: = 75 vs H_1 > 75 is t test for sigle mean.

The One-Sample Wilcoxon Signed Rank Test is a nonparametric alternative to a one-sample t-test. The test determines whether the median of the sample is equal to some specified value. Data should be distributed symmetrically about the median.