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Two dice have been thrown 360 times and each time the sum of the numbers on top of both dice have been recorded. The result of the experiment is summarized in the table below with all possible sums on the first row and their observed and expected (in brackets) frequencies on the second row: Sums on top 2 8 Frequencies 4 5 | 7 8 9. 10 11 12 23 29 43 55 62 47 36 31 19 (10) (20) (30) (40) (50) (60) (50) (40) (30) (20) (10) Check if the dice were fair. Assume that the Central limit theorem conditions are satisfied. Use a level of significance of 0.05. Hint: Use Goodness- of-Fit test, hypothesize, calculate the test statistic, find p-value graphically, interpret and conclude. Consider the dice were unfair if observed frequencies were too different from expected frequencies.

Two dice have been thrown 360 times and each time the sum of the numbers on top of both dice have been recorded. The result of the experiment is summarized in the table below with all possible sums on the first row and their observed and expected (in brackets) frequencies on the second row: Sums on top 2 8 Frequencies 4 5 | 7 8 9. 10 11 12 23 29 43 55 62 47 36 31 19 (10) (20) (30) (40) (50) (60) (50) (40) (30) (20) (10) Check if the dice were fair. Assume that the Central limit theorem conditions are satisfied. Use a level of significance of 0.05. Hint: Use Goodness- of-Fit test, hypothesize, calculate the test statistic, find p-value graphically, interpret and conclude. Consider the dice were unfair if observed frequencies were too different from expected frequencies.

MATLAB: An Introduction with Applications
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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Two dice have been thrown 360 times and each time the sum of the numbers on top of both dice have been recorded. The result of the experiment is summarized in the table below with all possible sums on the first row and their observed and expected (in brackets) frequencies on the second row: Sums on top 2 3 4 Frequencies 6 8. 9 10 8 23 29 43 11 12 55 62 47 36 (10) (20) (30) (40) (50) (60) 31 19 7. (50) (40) (30) (20) (10) Check if the dice were fair. Assume that the Central limit theorem conditions are satisfied. Use a level of significance of 0.05. Hint: Use Goodness- of-Fit test, hypothesize, calculate the test statistic, find p-value graphically, interpret and conclude. Consider the dice were unfair if observed frequencies were too different from expected frequencies.
Transcribed Image Text:Two dice have been thrown 360 times and each time the sum of the numbers on top of both dice have been recorded. The result of the experiment is summarized in the table below with all possible sums on the first row and their observed and expected (in brackets) frequencies on the second row: Sums on top 2 3 4 Frequencies 6 8. 9 10 8 23 29 43 11 12 55 62 47 36 (10) (20) (30) (40) (50) (60) 31 19 7. (50) (40) (30) (20) (10) Check if the dice were fair. Assume that the Central limit theorem conditions are satisfied. Use a level of significance of 0.05. Hint: Use Goodness- of-Fit test, hypothesize, calculate the test statistic, find p-value graphically, interpret and conclude. Consider the dice were unfair if observed frequencies were too different from expected frequencies.
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