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ChiSquare test for goodness of fit

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The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 180 times. (Yes, the author has too much free time.) The results are given in the frequency distribution in the margin. Construct the frequency distribution for the outcomes that you would expect from a die that is perfectly fair and unbiased. Does the loaded die appear to differ significantly from a fair die that has not been "loaded?"
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Outcome Frequency
1 24
2 28
3 39
4 37
5 25
6 27

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Step by step method for computing test statistic for Chi-Sqaure test for goodness of fit is given in the answer.

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Loaded Die
The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 180 times. (Yes, the author has too much free time.) The results are given in the frequency distribution in the margin. Construct the frequency distribution for the outcomes that you would expect from a die that is perfectly fair and unbiased. Does the loaded die ...

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