Question

Debates have been ongoing if a traditional classroom settings provide a more effective way to deliver educational content over more modern alternatives such as online or hybrid online course offerings. In order to shed light on this debate an experiment was conducted over a fifteen-week period. In total, 90 students were randomly separated into 3 different courses. In other words, 30 students were in a traditional classroom for a semester, 30 were asked to take the course in a hybrid online model, and the remaining 30 were asked to take the course online. The experiment was controlled as much as possible. For example, the course content was created by a single Professor (i.e. lectures, recorded videos, etc.). At the end of the 15-week investigation, all students were asked to take the same final exam which contained 50 questions. The scores (i.e. number of questions answered correctly) from the 90 students are shown below in the table. Using an alpha value of 0.05, is it reasonable to conclude that there are differences in student scores based on the content delivery method used?

Classroom	Hybrid	Online
21	30	40
26	22	33
22	43	33
28	34	42
30	28	38
28	33	39
42	30	17
32	28	38
21	17	17
45	44	25
36	30	26
38	28	34
21	34	17
32	22	35
18	47	31
39	34	46
50	48	37
27	23	42
37	18	30
26	36	17
30	18	22
21	47	23
21	40	23
33	26	46
21	44	33
31	28	50
49	23	45
50	44	17
43	27	38
23	42	45

A. What is the null hypothesis statement for this problem?

B. What is the alternative hypothesis statement for this problem?

C. What is alpha for this analysis?

D. What is the most appropriate test for this problem? (choose one of the following)

a. F-Test Two-Sample for Variance

b. Anova: Single Factor

c. Anova: Two-Factor with Replication

d. Anova: Two-Factor without Replication

E. What is the value of the test statistic for the most appropriate analysis?

F. What is the value of the critical value for the most appropriate analysis?

G. Is it reasonable to conclude that there is a difference in the mean scores based on the content delivery method used in this experiment? (choose one of the following)

a. Yes

b. No

H. What is the p-value for this analysis?

you must show your work and you must use the appropriate formulas in Excel to answer the questions. SHOW ALL FORMULAS AND ALL WORK.

Answer 1

A. Null hypothesis H0:

B. Alternative hypothesis Ha: At least one factor mean is different.

C. Alpha for this analysis is 0.05

D. The most appropriate test for this problem is one-way ANOVA.

Option- (b)

E. By using One-way ANOVA calculator: ANOVA table

Source	df	SS	MS	F
Between treatments	2	25.4889	12.7444	0.13473
Within treatments	87	8229.8	94.5954
Total	89	8255.2889

F. The f-ratio value is 0.13473. The p-value is .874137. The result is not significant at p < .05.

G. No, it is not reasonable to conclude that there is a difference in the mean scores based on the content delivery method used in this experiment.

H. The p-value is .874137

please ask me if you have any doubts.