Math Problem Statement
An SAT prep course claims to increase student scores by more than 60 points, on average. To test this claim, 9 students who have previously taken the SAT are randomly chosen to take the prep course. Their SAT scores before and after completing the prep course are listed in the following table. Test the claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d= (scores after completing the prep course) − (scores before completing the prep course). Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Paired Sample T-Test
Hypothesis Testing
Formulas
t = (d̄ - μ_d) / (s_d / √n)
d̄ = mean of differences
μ_d = hypothesized mean difference (60 points)
s_d = standard deviation of differences
n = sample size
Theorems
T-Distribution
Central Limit Theorem
Suitable Grade Level
Undergraduate