Question

: Students from Elementary school were randomly separated into 4 groups and each group was taught a mathematical concept using a different teaching method. At the end of the teaching period, progress was measured by a unit test. The scores of shown below: (one child in group three was absent on the day the test was administered.)

(1) Construct an ANOVA table

(2) Do the data present significant evidence to indicate a difference in the average scores for the four teaching methods? Tabulated. (critical) F at α .05 = 3.29.

       

          

group
1	2	3	4
112	111	140	101
92	129	121	116
124	102	130	105
89	136	106	126
97	99	---	119

Answer 1

using data >data analysis>ANOVA single Factor

we have

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
1	5	514	102.8	218.7
2	5	577	115.4	269.3
3	4	497	124.25	208.25
4	5	567	113.4	105.3
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1052.682	3	350.8939	1.755669	0.198721	3.287382
Within Groups	2997.95	15	199.8633
Total	4050.632	18

(1)

ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	1052.682	3	350.8939	1.755669	0.198721
Within Groups	2997.95	15	199.8633
Total	4050.632	18

(2) since F value 1.756 <3.29 so we conclude that there is no significant evidence to indicate a difference in the average scores for the four teaching methods.