In: Statistics and Probability
An SAT prep course claims to improve the test score of students.
The table below shows...
An SAT prep course claims to improve the test score of students.
The table below shows the scores for seven students the first two
times they took the verbal SAT. Before taking the SAT for the
second time, each student took a course to try to improve his or
her verbal SAT scores. Do these results support the claim that the
SAT prep course improves the students' verbal SAT scores?
Let d=(verbal SAT scores prior to taking the prep
course)−(verbal SAT scores after taking the prep course)
. Use a significance level of α=0.05
for the test. Assume that the verbal SAT scores are normally
distributed for the population of students both before and after
taking the SAT prep course.
Student |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Score on first SAT |
430 |
Step 1 of 5 :
State the null and alternative hypotheses for the test.