A Doctor Claims That the Standard Deviation of Systolic Blood $12 \mathrm { mmHg }$

Multiple Choice

A doctor claims that the standard deviation of systolic blood pressure is $12 \mathrm { mmHg }$ . A random sample of 24 patients found a standard deviation of $14 \mathrm { mmHg }$ . Assume the variable is normally distributed. At $\alpha = 0.01$ , what are the critical $\chi ^ { 2 }$ values?

A) 13.091 and 35.172
B) 13.848 and 36.415
C) 11.524 and 44.314
D) 9.262 and 44.181