**Problem 7: Statistical Analysis of a Loaded Die**A gambler suspects that a die is loaded. He conducts an experiment by rolling the die 100 times and records the frequency of each outcome. The results of his observations are displayed in the following table:| Outcome (X) | 1 | 2 | 3 | 4 | 5 | 6 ||-------------|----|----|----|----|----|----|| Frequency (Obs) | 28 | 20 | 16 | 15 | 15 | 6 |The question posed is: **Is there statistical support for his claim that the die is loaded?**### Analysis of the Data- **Expected Frequency for a Fair Die:** In a fair die, each side has an equal chance of landing face up. Therefore, the expected frequency for each outcome after 100 rolls should be approximately 16.67 (calculated as 100 rolls divided by 6 sides).- **Observed Frequency:** The observed frequencies significantly deviate from the expected value for a fair die, particularly for outcomes 1 and 6.### Statistical Considerations- **Chi-Square Test:** To determine if there is statistical support for the claim, a Chi-Square test for goodness-of-fit can be employed to compare the observed frequencies with the expected frequencies under the null hypothesis that the die is fair.Consider calculating the Chi-Square statistic to determine if any deviation from the expected frequencies is statistically significant.

It is needed to test the whether the die is loaded.

Answered: A gambler suspects that the die is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A gambler suspects that the die is loaded. He rolls die 100 times and observed X Obs Is there statistical support to his claim? 1 2 3 4 28 20 16 15 5 6 15 6