Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 }

Name: Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } < 50.4 \text { if } n = 28 , s ^ { 2 } = 31.5 , \text { and } \alpha = 0.10 \text {. }$ A) 16.875 B) 14.324 C) 18.132 D) 21.478
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Question

Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } < 50.4 \text { if } n = 28 , s ^ { 2 } = 31.5 , \text { and } \alpha = 0.10 \text {. }$
A)  16.875 
B)  14.324 
C)  18.132 
D)  21.478

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{(28-1) \times 31.5}{50.4} = 16.875 $.

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

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