Each side of a standard six-sided die should appear approximately $$\frac { 1 } { 6 }$$ of 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.
Find the critical value χ $$x _ { 0 } ^ { 2 }$$ to test the playerʹs claim. Use $$\alpha = 0.10 .$$ $$\begin{array} { l | c c c c c c }
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 11 & 15 & 12 & 16 & 17 & 19
\end{array}$$
A)9.236
B)1.610
C)12.833
D)11.071

Question

Each side of a standard six-sided die should appear approximately $$\frac { 1 } { 6 }$$ of 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.
Find the critical value χ $$x _ { 0 } ^ { 2 }$$ to test the playerʹs claim. Use $$\alpha = 0.10 .$$ $$\begin{array} { l | c c c c c c } 
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 11 & 15 & 12 & 16 & 17 & 19
\end{array}$$
A)9.236
B)1.610
C)12.833
D)11.071

Quizplus · Accepted Answer

The critical value for a chi-square test with 5 degrees of freedom and a significance level of 0.10 is 9.236.

Each Side of a Standard Six-Sided Die Should Appear Approximately 16\frac { 1 } { 6 }61​

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