Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } = 30.1 \text { if } n = 12 , s ^ { 2 } = 25.2 \text {, and } \alpha = 0.05 \text {. }$
A) 9.209
B) 12.961
C) 18.490
D) 0.492

Question

Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } = 30.1 \text { if } n = 12 , s ^ { 2 } = 25.2 \text {, and } \alpha = 0.05 \text {. }$
A)  9.209 
B)  12.961 
C)  18.490 
D)  0.492

Quizplus · Accepted Answer

The test statistic for variance is calculated using the formula $ \chi^2 = \frac{(n-1)s^2}{\sigma^2} $. Substituting the given values: $ \chi^2 = \frac{(12-1) \times 25.2}{30.1} = 9.209 $.

Compute the Standardized Test Statistic x2x ^ { 2 }x2 To Test the Claim

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