Question

a) choose the model for these iq scores that correctly shows what the 68 - 95 - 99.7 rule predicts about the scores.

Explanation:

Step1: Recall 68 - 95 - 99.7 rule

The 68 - 95 - 99.7 rule for a normal distribution states that about 68% of the data lies within 1 standard - deviation ($\mu\pm\sigma$) of the mean, about 95% lies within 2 standard - deviations ($\mu\pm2\sigma$) of the mean, and about 99.7% lies within 3 standard - deviations ($\mu\pm3\sigma$) of the mean.

Step2: Analyze the models

We need to find the model that correctly labels the percentages within 1, 2, and 3 standard - deviations of the mean.

Answer:

Without seeing the full details of the models, we assume the correct model is the one that has 68% between $\mu - \sigma$ and $\mu+\sigma$, 95% between $\mu - 2\sigma$ and $\mu + 2\sigma$, and 99.7% between $\mu - 3\sigma$ and $\mu+3\sigma$. If we had to choose based on the general understanding of the rule, we would look for the model with these correct percentage markings. Since the figures are not fully described in text, we can't definitively say A, B, or C. But if one of them has the above - mentioned correct percentage intervals marked, that is the correct choice.