Compute the standardized test statistic, $x ^ { 2 }$ to test the claim $\sigma ^ { 2 } \neq 20.4 \text { if } \mathrm { n } = 10 , \mathrm {~s} ^ { 2 } = 22.5 , \text { and } \alpha = 0.01$
A) 9.926
B) 3.276
C) 4.919
D) 12.008

Question

Compute the standardized test statistic,  $x ^ { 2 }$  to test the claim $\sigma ^ { 2 } \neq 20.4 \text { if } \mathrm { n } = 10 , \mathrm {~s} ^ { 2 } = 22.5 , \text { and } \alpha = 0.01$
A)  9.926 
B)  3.276 
C)  4.919 
D)  12.008

Quizplus · Accepted Answer

The standardized test statistic is given by:$$x^2 = \frac{(n-1)s^2}{\sigma^2}$$Substituting the given values, we get:$$x^2 = \frac{(10-1)22.5}{20.4} = 9.926$$Therefore, the correct choice is A.

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

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