A casino has been using six-sided dice obtained from Luckytown Dice Company for some of its games of chance. After a string of unusual rolls, the casino is concerned the dice are not fair (i.e. that distribution of rolls is not equally likely). They take a sample of 300 rolls. The observed counts are below. Calculate the value of the Chi-Square test statistic (Part of the calculations have been done for you). Please enter your answer to 2 decimal places. Value Observed Expected Contribution to Chi-square Test Statistic=(O-E)^2/E 13650(36−50)2/50=3.9224850(48−50)2/50=0.0835050(50−50)2/50=044350(43−50)2/50=0.985345068950 Total 300300

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A casino has been using six-sided dice obtained from Luckytown Dice Company for some of its games of chance. After a string of unusual rolls, the casino is concerned the dice are not fair (i.e. that distribution of rolls is not equally likely). They take a sample of 300 rolls. The observed counts are below. Calculate the value of the Chi-Square test statistic (Part of the calculations have been done for you). Please enter your answer to 2 decimal places. Value  Observed  Expected  Contribution to Chi-square Test Statistic=(O-E)^2/E 13650(36−50)2/50=3.9224850(48−50)2/50=0.0835050(50−50)2/50=044350(43−50)2/50=0.985345068950 Total 300300

Lucian Robin · Accepted Answer

The test statistic is calculated by using the formula:χ2=∑(O−E)2EThen, the chi-square test statistic can be calculated as follows: Value  Observed  Expected  Contribution to Chi-square Test Statistic=(O-E)^2/E 13650(36−50)2/50=3.9224850(48−50)2/50=0.0835050(50−50)2/50=044350(43−50)2/50=0.9853450(34−50)2/50=5.1268950(89−50)2/50=30.42 Total 300300Then,χ2=∑(O−E)2E=3.92+0.08+0+0.98+5.12+30.42=40.52Thus, the value of chi-square test statistic is 40.52.

A casino has been using six-sided dice obtained from Luckytown Dice Company for some of its games of

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