ormed to measure the effect of nutrition on attention span. Three 5 students wer
ID: 3356420 • Letter: O
Question
ormed to measure the effect of nutrition on attention span. Three 5 students were randomly assigned to one of 3 meal plans, and then the umber of minutes they paid attention in a morning class was measured. No LightFull Meal Plan Breakfast Breakfast Breakfast 14 16 12 17 10 12 16 15 12 13 6.0 8 7 Sample Data 13 10 9.4 5.3 14 Sample mean Sample variance 6.5 Source of Variation Between Groups Within Groups Total df 2 12 14 MS 29.27 5.93 4.94 58.5 71.2 129.7 Find the 95% Fisher's LSD intervals for the test. Indicate which samples are significantly different, if any.Explanation / Answer
Answer:
MINITAB used
Method
Null hypothesis
All means are equal
Alternative hypothesis
Not all means are equal
Significance level
= 0.05
Equal variances were assumed for the analysis.
Analysis of Variance
Source
DF
Adj SS
Adj MS
F-Value
P-Value
Factor
2
58.53
29.267
4.93
0.027
Error
12
71.20
5.933
Total
14
129.73
Calculated F=4.93, P=0.027 which is < 0.05 level. Ho is rejected. We conclude that there is significant difference between the three meal plans.
Means
Factor
N
Mean
StDev
95% CI
No
5
9.40
2.30
(7.03, 11.77)
Light
5
14.00
2.55
(11.63, 16.37)
Full
5
13.00
2.45
(10.63, 15.37)
Pooled StDev = 2.43584
Fisher Individual Tests for Differences of Means
Difference
of Levels
Difference
of Means
SE of
Difference
95% CI
T-Value
Adjusted
P-Value
Light - No
4.60
1.54
(1.24, 7.96)
2.99
0.011
Full - No
3.60
1.54
(0.24, 6.96)
2.34
0.038
Full - Light
-1.00
1.54
(-4.36, 2.36)
-0.65
0.528
Simultaneous confidence level = 88.44%
Fisher test shows that No breakfast is significant with light and full breakfast.
Light and full breakfast are not significant.
Null hypothesis
All means are equal
Alternative hypothesis
Not all means are equal
Significance level
= 0.05
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