The U.S. state of Wyoming hired an education firm to implement a program to help students in science, technology, engineering, and math (STEM). The following year, the average math SAT portion was 506...

Please answer the last three parts of this question.

Extracted text: The U.S. state of Wyoming hired an education firm to implement a program to help students in science, technology, engineering, and math (STEM). The following year, the average math SAT portion was 506 for a sample of 31 students in Wyoming. The national math SAT average is 502 with a variance of 1849. State legislators wants to know if the program had an effect. What can be concluded with a = 0.10? a) What is the appropriate test statistic? --Select--- b) Population: --Select--- Sample: ---Select--- c) Obtain/compute the appropriate values to make a decision about Hn. Test Statistic= Critical Value = Decision: ---Select-- d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below. e) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and select "na" below. d = |; Magnitude: --Select--- 2 = ; Magnitude: --Select-- f) Make an interpretation based on the results. O Students from the nation had significantly lower math SAT scores than students from Wyoming. O Students from the nation had significantly higher math SAT score than students from Wyoming. O The program did not have a significant effect.