## 3. Suppose the average Math SAT score for all students taking the exam this year is 480 with standard deviation 100.

3. Suppose the average Math SAT score for all students taking the exam this year is 480 with standard deviation 100. Assume the distribution of scores is normal. The senator of a particular state notices that the mean score for students in his state who took the Math SAT is 500. His state recently adopted a new mathematics curriculum and he wonders if the improved scores are evidence that the new curriculum has been successful. Since over 10,000 students in his state took the Math SAT, he can show that the P-value for testing whether the mean score in his state is more than the national average of 480 is less than 0.0001. We may correctly conclude that

a. there is strong statistical evidence that the new curriculum has improved Math SAT scores in his state.

b. although the results are statistically significant, they are not practically significant, since an increase of 20 points is fairly small.

c. these results are not good evidence that the new curriculum has improved Math SAT scores.