Question

Suppose the SAT scores for reading vary normally with a mean µ= 475 and a standard deviation of sigma equals 100 Ten thousand students go through a training program to improve their score. The average SAT scores for the students are found to be larger than 475 and statistically significant with a p-value of 0.0028. Which of the following can be concluded?

We cannot say if the score improved at all. The average score is improved by training by at least 100 points The score must have been improved by a large number to produce such a small p-value. We cannot say by exactly how much the SAT reading score is improved, only that the observed improvement is unlikely to have arisen by chance. We cannot say by exactly how much the average score is raised.

Answer 1

We can conclude that the average score is improved by training and that the observed improvement is unlikely to have arisen by chance, based on the p-value of 0.0028. However, we cannot say if the score improved at all or by exactly how much the SAT reading score is improved. We can only say that the average score is larger than 475, but we do not know by exactly how much it is raised.

Step-by-step explanation: