$$\text { Let } \chi _ { 0 } ^ { 2 } \text { be a particular value of } \chi ^ { 2 } \text {. Find the value of } \chi _ { 0 } ^ { 2 } \text { such that } \mathrm { P } \left( \chi ^ { 2 } \chi _ { 0 } ^ { 2 } \right) = .10 \text { for } n = 10 \text {. }$$
A) 14.6837
B) 15.9871
C) 4.16816
D) 16.919

Question

$$\text { Let } \chi _ { 0 } ^ { 2 } \text { be a particular value of } \chi ^ { 2 } \text {. Find the value of } \chi _ { 0 } ^ { 2 } \text { such that } \mathrm { P } \left( \chi ^ { 2 } > \chi _ { 0 } ^ { 2 } \right) = .10 \text { for } n = 10 \text {. }$$
A) 14.6837
B) 15.9871
C) 4.16816
D) 16.919

Quizplus · Accepted Answer

The value of $\chi_0^2$ such that $P(\chi^2 > \chi_0^2) = 0.10$ for $n = 10$ degrees of freedom is 14.6837, which corresponds to the 90th percentile of the chi-square distribution with 10 degrees of freedom.

A) 146837 B) 15

A) 146837
B) 15