An SAT prep course claims to increase average Verbal SAT scores. To test the claim, $ n $ candidates will be selected at random to take the prep course and then take the test. It is known that, without the prep course, the average Verbal SAT score follows a normal distribution.

What statistical test should be used to compare the average scores of the two groups?

A. Chi-Square Test
B. t-Test for Independent Samples
C. ANOVA (Analysis of Variance)
D. Correlation Analysis

The t-Test for Independent Samples is the statistical tool that should be used to compare the mean SAT scores of the group of students who took the SAT prep course and those who did not. This test analyzes whether there is a significant difference between the two groups.

Explanation:

The appropriate statistical test to compare the means of two groups derived from a normative data set, such as SAT scores, would be the t-Test for Independent Samples. This test is used when the populations being compared are distinct and the data is either ordinal or continuous. In this case, the two populations are those who have and have not taken the SAT prep course.

The t-test does not require that the standard deviations of the two populations be equal, which can be beneficial given the variability that can exist in population samples. To perform this test, compute the mean SAT score for each group and then compare these to determine if there is a significant difference.

Note that the Chi-Square Test is used for nominal (categorical) data, ANOVA is used when there are more than two groups to compare, and Correlation Analysis is used to determine the strength of a relationship between two variables.

Learn more about Statistical test for SAT scores here:

https://brainly.com/question/19052169

#SPJ11