High School

A local tutorial franchise offers an SAT Prep course. Students begin by taking a pre-test. After taking the course, students take the SAT. The pre-test score and SAT score were recorded for 8 randomly selected students. The results were as follows:

- Test Statistic: -2.06
- P-value: 0.0391

At the 0.05 level of significance, test the claim that the Prep course produces an overall increase in scores. (Treat the pre-test as Population #1.)

Answer :

To test the claim that the Prep course produces an overall increase in scores, we can perform a paired t-test. The null hypothesis, denoted as H₀, assumes that there is no overall increase in scores, while the alternative hypothesis, denoted as H₁, assumes that there is an overall increase in scores.

Given the test statistic of -2.06 and a p-value of 0.0391, we compare the p-value to the significance level of 0.05. Since the p-value (0.0391) is less than the significance level (0.05), we reject the null hypothesis.

Therefore, we have sufficient evidence to support the claim that the Prep course produces an increase in scores.

To learn more hypothesis click here:brainly.com/question/29576929

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