## 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**

Variablen | Sample Mean | Std .Err. | Z -Stat | P -value |
---|---|---|---|---|

17varl | 525.82355 | 24.253563 | 1.0647314 | 0.1435 |

### Solution

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

- Independent Variable =
**Categorical** - Dependent Variable =
__Continuous__ __one-tailed__- 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__