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### Instructions

## Exercise 4142. Points 3, theme: Directions |
Open exercise |

Sara was speaking with mobile phone, while she was walking in a park. There were attractive places such as entertainment zones, a lake, a restaurant and sitting places in the park that you can see in the attached image. She walks 15 meters towards East. Then she turns and starts walking to North-East for 25 meters. Then she walks to south-east for another 12 meters. Then to north 5 meters. He then turns to her left(west) where she walks for 45 meters.

- Based on her walking directions, which destination Sara finally reached to?
- How probable is that such or larger shift of her walking is a result of random walk?
- Can we deduce at p<0.05 level that Sara¤s movement was purposeful?

Using the online calculator.

• Select*Cases have weights*, Set declination to zero

• Find the directions in degrees and input the given degrees in the first column and distances to the second.

• For storing the results use*Save or Copy*.

• Find*Statistics of weighted directions* from the results.

• The total shift is expressed as*Total move distance*. The mean and total directions are identical.

The excercise is compiled by Najmeh Mozaffaree Pour.

• Select

• Find the directions in degrees and input the given degrees in the first column and distances to the second.

• For storing the results use

• Find

• The total shift is expressed as

The excercise is compiled by Najmeh Mozaffaree Pour.

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