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 hvpothesis test.
- $\mathrm { s } = 6 , \mathrm { n } = 10$
$\mathrm { H } _ { 0 } : \sigma = 7 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 7 , \alpha = 0.05$

A) Test statistic: $X ^ { 2 } = 6.612$ , Critical values $= 3.325,16.919$ . Do not reject $\mathrm { H } _ { 0 }$ .
B) Test statistic: $\mathrm { X } ^ { 2 } = 12.25$ , Critical values $= 2.700,19.023$ . Do not reject $\mathrm { H } _ { 0 }$ .
C) Test statistic: $X ^ { 2 } = 6.612$ , Critical values $= 2.700,19.023$ . Do not reject $\mathrm { H } _ { 0 }$ .
D) Test statistic: $X ^ { 2 } = 12.25$ , Critical values $= 3.325,16.919$ . Reject $\mathrm { H } _ { 0 }$ .