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Each Side of a Standard Six-Sided Die Should Appear Approximately 16\frac { 1 } { 6 }

question 41

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Each side of a standard six-sided die should appear approximately 16\frac { 1 } { 6 } oof the time when the die is rolled. A player suspects that a certain die is loaded. The suspected die is rolled 90 times. The results are shown below.
Calculate the chi-square test statistic χ x2x ^ { 2 } to test the playerʹs claim.  Number 123456 Frequency 151216191711\begin{array} { l | c c c c c c } \text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Frequency } & 15 & 12 & 16 & 19 & 17 & 11\end{array}

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