Statistical Analysis of the Impact of an SAT-Math Tutoring Program on Student Scores

This Statistics Analysis Homework is concerned with the research scenario of a high school counselor who has set out to investigate the effects of an SAT-math tutoring program that spans 8 weeks. To scrutinize this hypothesis, the counselor successfully recruited 17 students to engage in the SAT-math tutoring program for the full duration. The students' scores were meticulously collected and subjected to a statistical program that conducted z-tests. The critical question at hand is whether the SAT-math tutoring students' scores exhibit a significant increase when contrasted with the national norm, and this test is conducted at a significance level (alpha) of 0.05.

Problem Description:

A high school counselor plans to run an SAT-math tutoring program for 8 weeks. He believes this tutoring program will result in participating students having higher SAT-math scores compared to the norm (μ=500, σ=100). The counselor can get 17 students to participate in the SAT-math tutoring program for the full 8 weeks. The counselor collected scores from the sample of students who participated in the program and compared them to the norm with a statistical program that would run z-tests (see output table below). Are the SAT-math tutoring students’ scores significantly higher when compared to the norm? Test at the .05 alpha level.

Output Table

Solution

Directions : Complete the items based on the scenario and output table above.

1. Independent Variable = Categorical
2. Dependent Variable = Continuous
3. one-tailed
4. Alternative Hypothesis in sentence form (H1): SAT-math tutoring students’ scores higher when compared to the norm
5. Null Hypothesis in sentence form (H0): SAT-math tutoring students’ scores similar to the norm
6. zcalculated = 1.0647314
7. Level of Significance (p) = 0.1435
8. fail to reject null
9. Write your conclusion in sentence form with appropriate statistics.

There is not sufficient evidence to support the claim that SAT-math tutoring students’ scores significantly higher when compared to the norm