Compute the standardized test statistic, $X ^ { 2 }$ to test the claim $\sigma ^ { 2 } \geq 12.6 \text { if } \mathrm { n } = 15 , \mathrm {~s} ^ { 2 } = 10.5 , \text { and } \alpha = 0.05$
A)11.667
B)8.713
C)12.823
D)23.891

Question

Quizplus · Accepted Answer

The test statistic for a chi-square test for variance is calculated as $\chi^2 = \frac{(n-1)s^2}{\sigma^2}$. Substituting the given values: $\chi^2 = \frac{(15-1) \times 10.5}{12.6} = 11.667$.

Compute the Standardized Test Statistic X2X ^ { 2 }X2 To Test the Claim

Compute the Standardized Test Statistic $X ^ { 2 }$ To Test the Claim