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.
|Variablen||Sample Mean||Std .Err.||Z -Stat||P -value|
Directions: Complete the items based on the scenario and output table above.
- Independent Variable = Categorical
- Dependent Variable = Continuous
- Alternative Hypothesis in sentence form (H1):SAT-math tutoring students’ scores higher when compared to the norm
- Null Hypothesis in sentence form (H0): SAT-math tutoring students’ scores similar to the norm
- zcalculated = 1.0647314
- Level of Significance (p) =0.1435
- fail to reject null
- 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