A pair of dice is rolled 500 times and we observe the following frequencies for the sum on the faces of the dice. Test the null hypothesis that the dice are balanced at the 5% significance level. The value of the test statistic and the decision are sum 2, 3 or 4 5 or 6 7 8 or 9 10, 11 or 12 Total 107.39; reject the null hypothesis 27.34; do not reject the null hypothesis 3.43; reject the null hypothesis frequency 74 120 83 135 88 500 2.31; do not reject the null hypothesis
A pair of dice is rolled 500 times and we observe the following frequencies for the sum on the faces of the dice. Test the null hypothesis that the dice are balanced at the 5% significance level. The value of the test statistic and the decision are sum 2, 3 or 4 5 or 6 7 8 or 9 10, 11 or 12 Total 107.39; reject the null hypothesis 27.34; do not reject the null hypothesis 3.43; reject the null hypothesis frequency 74 120 83 135 88 500 2.31; do not reject the null hypothesis
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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Transcribed Image Text:A pair of dice is rolled 500 times and we observe the following frequencies for the
sum on the faces of the dice. Test the null hypothesis that the dice are balanced at
the 5% significance level. The value of the test statistic and the decision are
sum
2, 3 or 4
5 or 6
7
8 or 9
10, 11 or 12
Total
107.39; reject the null hypothesis
27.34; do not reject the null hypothesis
3.43; reject the null hypothesis
frequency
74
120
83
135
88
500
2.31; do not reject the null hypothesis
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