A Lab Technician Is Tested for Her Consistency by Making $1.2 \mathrm { mg } / \mathrm { dL }$

Multiple Choice

A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of $1.2 \mathrm { mg } / \mathrm { dL }$ or less. If 12 measurements are taken and the standard deviation is
$2.1 \mathrm { mg } / \mathrm { dL }$ , is there enough evidence to support the claim that her standard deviation is greater than the target, at $\alpha = 0.01$ ?

A) No, since the $\chi ^ { 2 }$ test value $19.25$ is less than the critical value $26.217$ .
B) Yes, since the $\chi ^ { 2 }$ test value $33.688$ is greater than the critical value $24.725$ .
C) No, since the $\chi ^ { 2 }$ test value $19.25$ is less than the critical value $24.725$ .
D) Yes, since the $\chi ^ { 2 }$ test value $33.688$ is greater than the critical value $26.217$ .