Please show your work and explain reasoning.

A researcher is interested in exploring the effects of using the colour red on grading. The researcher assigns some instructors to use a red pen while grading and others to use a blue pen. He is not sure if the blue pen will increase or decrease grades compared to the red pen. He finds that the mean grade for those who use the red pen was 63% and the mean grade for the blue pen was 72%. This difference was statistically significant. Identify the following: a. The null hypothesis b. The research hypothesis c. What decision the researcher should make d. Given c, what type of error might the researcher have made? Explain your