A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
-$\mathrm { s } = 4 , \mathrm { n } = 29$
$\mathrm { H } _ { 0 } : \sigma = 5.2 , \mathrm { H } _ { \mathrm { a } } : \sigma

Question

A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
-$\mathrm { s } = 4 , \mathrm { n } = 29$
$\mathrm { H } _ { 0 } : \sigma = 5.2 , \mathrm { H } _ { \mathrm { a } } : \sigma < 5.2 , \alpha = 0.025$  
A)Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 44.461$. Reject $\mathrm { H } _ { 0 }$.
B) Test statistic: $X ^ { 2 } = 21.182$. Critical value $= 44.461$. Do not reject $\mathrm { H } _ { 0 }$.
C) Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 15.308$. Do not reject $\mathrm { H } _ { 0 }$.
D) Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 15.308$. Reject $\mathrm { H } _ { 0 }$.

Quizplus · Accepted Answer

The Answer of A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
-$\mathrm { s } = 4 , \mathrm { n } = 29$
$\mathrm { H } _ { 0 } : \sigma = 5.2 , \mathrm { H } _ { \mathrm { a } } : \sigma < 5.2 , \alpha = 0.025$  
A)Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 44.461$. Reject $\mathrm { H } _ { 0 }$.
B) Test statistic: $X ^ { 2 } = 21.182$. Critical value $= 44.461$. Do not reject $\mathrm { H } _ { 0 }$.
C) Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 15.308$. Do not reject $\mathrm { H } _ { 0 }$.
D) Test statistic: $X ^ { 2 } = 16.568$. Critical value $= 15.308$. Reject $\mathrm { H } _ { 0 }$.

A Sample Standard Deviation and Sample Size Are Given x2x ^ { 2 }x2

A Sample Standard Deviation and Sample Size Are Given $x ^ { 2 }$