Question

a chi-square distribution with 8 degrees of freedom is graphed below. the region under the curve to the right of 6 is shaded. find the area of the shaded region. round your answer to three decimal places.

Explanation:

Step1: Identify parameters

Degrees of freedom $df=8$, test statistic $\chi^2=6$. Need $P(\chi^2 > 6)$.

Step2: Use chi-square table or calculator

Look up $\chi^2$ distribution with $df=8$ for $\chi^2=6$. Using a calculator or statistical tool, the area to the right of 6 is approximately 0.633.

Answer:

0.633