In: Statistics and Probability
An instructor wants to know if the color of the text on her handouts may impact student learning. They take a small random sample of students enrolled in their university and randomly assign each student to one of three groups: black text, blue text, or yellow text. Each participant receives a handout, with the respective text color. After studying for 5 minutes, they are given an assessment. Their scores on that assessment follow:
Black text- 19, 17, 16, 15, 13
Blue text- 18, 16, 15, 15, 11
Yellow text- 15, 13, 13, 10, 9
A. Use the six step hypothesis testing procedure to determine if there is evidence that the population means are different. You may do the calculations by hand, or you can use JASP. If you use JASP, show your work by including a screenshot of your JASP output. Use the standard 0.05 alpha level. (Please don't write cursive script)
Step 1: Identify the population, comparison distribution, and assumptions
Step 2: State the null and research hypotheses
H0:
H1:
Step 3: Determine the characteristics of the comparison distribution (shape, mean, & standard error)
Step 4: Determine the critical values
Step 5: Calculate the test statistic.
Step 6: Make a decision (reject/fail to reject + real world conclusion)
B. Summarize the results of your one-way ANOVA in one sentence in APA format