The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. We examine a simple random sample of 200 students from this survey.

We want to test if there is an evident difference in the average scores of students in the reading and writing exam. We defineDiff = read - write, andhave the following Null and Alternative Hypothesis:

.

The average observed difference in scores is, and the standard deviation of the differences is 8.887 points.

We calculated the 95% confidence intervalfor the average difference between the reading and writing scores of all students as(-1.79, 0.70).

TRUE OR FALSE:This confidence interval provides convincing evidence that there is a real difference in the average scores?

Group of answer choices

True

False