Scores on an IQ Test Are Normally Distributed $s = 23$

Multiple Choice

Scores on an IQ test are normally distributed. A sample of 17 IQ scores had standard deviation $s = 23$ . The developer of the test claims that the population standard deviation is $\sigma = 17$ . Do these data provide sufficient evidence to contradict this claim? Use the $\alpha = 0.01$ level of significance.

A) Reject $H _ { 0 }$ .
The population standard deviation appears to differ from $17 .$
B) Do not reject $H _ { 0 }$ .
There is insufficient evidence to conclude that the population standard deviation differs from $17 .$