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

Question

Quizplus · Accepted Answer

To test if the population standard deviation differs from 17, a chi-square test for the variance can be used. Without the exact calculations, we cannot definitively conclude the result. However, the choice suggests that based on the given data and significance level, there isn't enough evidence to reject the null hypothesis that the population standard deviation is 17.

Scores on an IQ Test Are Normally Distributed σ=17\sigma = 17σ=17

Scores on an IQ Test Are Normally Distributed $\sigma = 17$