You have been provided with data on students who participated in a tutoring program to improve their performance in math over the course of an academic year (‘Tutor.xlsx’, in canvas, Assignment 3 Folder). Half of the students received tutoring in person and the other half received tutoring through an online service (TutLoc). You are asked to conduct a t-test to determine if the final test scores (FinalScore) of students who received in-person tutoring differed from those of students who received online tutoring. Be sure to include all the relevant steps of hypothesis testing (chosen alpha-level, stated null and alternative hypotheses, mean estimates, t-statistic, p-value, and the final decision with interpretation).
Problem 4 (4 points):
To examine the effect of instructions on the time required to solve a puzzle, 90 subjects were randomly assigned to one of three groups (Puzzle.xlsx, in canvas, Assignment 3 Folder). While providing instruction, one group was told that their task was easy, another group was told that their task was hard, while the final group was given no instruction at all (instruct). The dependent variable was the time, in minutes, required by each subject to solve the puzzle (Time).
Please conduct an ANOVA to test whether the method of instruction had an effect on the time it took for participants to complete the puzzle (Be sure to include all the relevant steps of hypothesis testing: state your null and alternative hypotheses, provide the ANOVA table, f-statistic, p-value, decision rule and final decision with interpretation. Then decide if you should conduct a post-hoc analysis. If so, please provide Tukeys. Finally, interpret your findings. What is the relationship between instruction and time to complete the puzzle? Provide a hypothesis on why that might be the case.