Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 33

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney test satisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the required hypothesis test.
-A researcher was interested in comparing the weight losses over a two-month period for people on two different diets. Independent simple random samples of 7 people on Diet A and 8 people on Diet B yielded the following weight losses (in pounds).
$\begin{array} { r | r } \text { Diet A } & \text { Diet B } \\ \hline 7 & 3 \\ 2 & 8 \\ 14 & 0 \\ 5 & 1 \\ 13 & 11 \\ 21 & 3 \\ 16 & 6 \\ & 4 \end{array}$
At the 10% significance level, do the data provide sufficient evidence to conclude that the mean weight loss for people on diet A differs from the mean weight loss for people on diet B?

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