# Kruskal-Wallis Test for Independent Groups & Sign Test for Matched Pairs

The number of offspring that female blue whales have follows a skewed right distribution. Fifty years ago, researchers tagged ten female blue whales from birth and are counted how many offspring each had over their lifetime. Now researchers want to get similar data to determine if the average number of offspring may be decreasing due to global warming or other environmental changes.

For this example, discuss why an approach using nonparametric statistics would be appropriate.

For this example, what specific test might you use to test whether the average number of offspring has changed over the years? Why would you use this specific type of test?

Describe a brief scenario where you may need to use nonparametric statistics in your daily life.

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#### Solution Summary

The solution gives detailed steps on performing Kruskal-Wallis test for two independent groups and sign test for two matched pairs. Also, the assumption and application of Kruskal-Wallis test is discussed. Attached in Word.