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

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the required hypothesis test.
- $\mathrm { s } = 12 , \mathrm { n } = 13$
$\mathrm { H } _ { 0 } : \sigma = 7 , \mathrm { H } _ { \mathrm { a } } : \sigma > 7 , \alpha = 0.05$

A) Test statistic: $\mathrm { X } ^ { 2 } = 4.083$ , Critical value $= 23.337$ . Do not reject $\mathrm { H } _ { 0 }$ .
B) Test statistic: $X ^ { 2 } = 4.083$ , Critical value $= 21.026$ . Do not reject $\mathrm { H } _ { 0 }$ .
C) Test statistic: $\mathrm { X } ^ { 2 } = 35.265$ , Critical value $= 23.337$ . Reject $\mathrm { H } _ { 0 }$ .
D) Test statistic: $\mathrm { X } ^ { 2 } = 35.265$ , Critical value $= 21.026$ . Reject $\mathrm { H } _ { 0 }$ .