Question

Asked Apr 27, 2019

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Step 1

__Solution__

The study is designed to test whether there is an association between smoking in pregnancy and low birth weight. Here, the observations are continuous but sample sizes (*n*_{1} = *n*_{2} = 5) are small. Thus, the nonparametric test is appropriate.

Here, the study is testing whether there is a significant difference in birth weights between mother who smoked during pregnancy and those who did not.

Therefore, the null and alternative for the test is stated as below.

*H*_{0}: The two population medians are equal.

*H*_{1}: The two population medians are not equal.

Step 2

To conduct the test, we have to assign ranks to the data. The first step to assign the ranks is to order the data from smallest to largest. This is done on the combined sample, pooling the data from the two groups, and assigning ranks from 1 to 10. This is showed in the table below.

Step 3

The test statistic for the Mann Whitney U Test is denoted U an...

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