Mr. Thompson, a middle school teacher, wanted to find out if there was a difference in the student engagement between three sections of his biology class based on the type of instruction he used. There were three sections of his 10th grade biology course, and in one he used traditional instruction, one he used active learning instruction, and for one he used a mixed instruction of both active learning and traditional instruction. He measured student engagement over 1 week of instruction for each student, ranging from 0 (no engagement) to 1.0 (very high engagement).Each student’s engagement score is within the dataset.a. Conduct a one-way analysis of variance (ANOVA) to determine if there are differences among the various classroom instruction strategies and present the results of the analysis tableb. Interpret the results, evaluate (i) the F value against the critical value, and (ii) thesignificance level (p-value).
Traditional Active Learning Mixed
Instruction Instruction Instruction
0.80 0.90 0.75
0.90 0.90 1.00
0.90 0.90 0.77
0.90 0.90 0.83
0.90 0.90 0.89
0.90 0.90 0.70
0.90 0.90 0.98
0.90 0.90 0.72
0.90 0.90 0.85
0.90 0.90 0.68
0.90 0.85 0.84
0.90 0.85 0.69
0.90 0.85 0.78
0.90 0.85 0.92
0.90 0.85 0.81
0.90 0.85 0.89
0.85 0.85 0.72
0.85 0.85 0.68
0.85 0.85 0.77
0.85 0.85 0.57
0.85 0.80 0.94
0.85 0.80 0.74
0.85 0.80 0.79
0.85 0.80 0.89
0.80 0.80 0.62
0.80 0.80 0.55
0.80 0.80 0.72
0.80 0.80 0.45
0.80 0.80 1.00