You're hosting a game show that needs a wheel of fortune. Your task is to test if the wheel of fortune works well. To do this, spin the wheel several times and write down normalized deviation angles from the initial state so that the results range between 0 and 1. The wheel of fortune is suitable for the show if the results are evenly distributed on the interval [0, 1]. You will get the following 25 observations: 0.42 0.06 0.88 0.40 0.90 0.38 0.78 0.71 0.57 0.66 0.48 0.35 0.16 0.22 0.08 0.11 0.29 0.79 0.75 0.82 0.30 0.23 0.01 0.41 0.09 Use a suitable program language (e.g. R or Python) and a Kolmogorov–Smirnov test to check whether the wheel of fortune is suitable. Determine the p-value.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter21: Simulation
Section21.5: Simulations With Continuous Random Variables
Problem 7P
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You're hosting a game show that needs a wheel of fortune. Your task is to test if the wheel of fortune works well. To do this, spin the wheel several times and write down normalized deviation angles from the initial state so that the results range between 0 and 1. The wheel of fortune is suitable for the show if the results are evenly distributed on the interval [0, 1].

You will get the following 25 observations:
0.42 0.06 0.88 0.40 0.90 0.38 0.78 0.71 0.57 0.66 0.48 0.35 0.16 0.22 0.08 0.11
0.29 0.79 0.75 0.82 0.30 0.23 0.01 0.41 0.09
Use a suitable program language (e.g. R or Python) and a Kolmogorov–Smirnov test to check whether the wheel of fortune is suitable. Determine the p-value.

 

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