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### Instructions

## Exercise 3678. Points 2, theme: U-test |
Open exercise |

Physical abilities of students in two groups: runners and of chess players was compared. Heart rate values per minute after exercise were the following.

Runners: 120 95 132 145 180 100 110 115 125 120 125 ja 130

Chess players: 140 170 180 160 160 150 120 110 125 ja 140.

- How significant is the difference according to the Mann-Whitney U test (giv p value)?Lets assume that the samples represent runners and chess players in general.
- Why this assumption is added?
- Why only a sample of bouth group was used?
- Add sofware name you used.

Copy the heart rate values from the excercise text. These should be prepared as demanded by the package you use.**E.g Vassarstats** solution expects data in two columns.

**Statistica** expects grouping codes in one column and values for the dependent variable in other column. Select: *Statistics* → *Nonparametrics* → *Comparing two independent samples*.

In the **SDC** Difference tests you have options how to prepare the data (joonis). Anyhow, you have to transpose (in Excel) the numbers from a line to a column.

The next questions ask to explai why we couldn’t simply compare the mean values of bouth groups? Why we need the tedious significance calculations at all?

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