STEP BY STEP SOLUTION PLEASE AND EXPLANATION A school studied three methods to e
ID: 3314055 • Letter: S
Question
STEP BY STEP SOLUTION PLEASE AND EXPLANATION
A school studied three methods to encourage children to eat more fresh fruit. The first group (n=10) was told the health benefits; the second (n=10) was told the harms of eating junk food; and the third (n=10) was given attractive fresh fruit snacks. Afterward, the school measured the children’s intake of fresh fruit (number of servings eaten per week) and obtained these data:
Source SS df MS F F sig. at 0.05 ( < or >)
Between groups 95
Within groups 140
Total 235
Group means: Health benefits, 3.5; Harms of junk, 2.5; Snacks, 7
1. Which of the following is the correct value for the MS within groups?
A) 5.19 B) 9.15 C) 47.5 D) 140
What should the school conclude from its ANOVA?
A) Do not reject H , at least one mean is different C) Reject H , at least one mean is different
B) Reject H , all the means are different D) Do not reject H , all the means are equal
When should post-hoc tests be done?
A) When the ANOVA is significant C) Whenever an ANOVA is done
B) When the ANOVA is not significant D) When an interaction is significant
The school decided to do LSD tests on the means. Which of the following conclusions would they reach?
A) Snacks are significantly more effective than health, which is more effective than harms
B) Snacks are significantly more effective than health and harms, which are the same
C) Snacks are significantly more effective than harms, but not more than health
D) None of the conditions is significantly more effective than any other
Explanation / Answer
here from above data : below is completed ANOVA table"
1) MS within groups =5.19
2) as pvalue is very less
C) Reject H , at least one mean is different
3) When the ANOVA is significant
4)
for 0.05 level and 27 degree of freedom critial value of t =2.0518
here LSD =t*(2*MSE/n)1/2 =2.0895
option B is correct
B) Snacks are significantly more effective than health and harms, which are the same
source SS df MS F p value between groups 95 2 47.5 9.160714 0.0009 within groups 140 27 5.19 total 235 29Related Questions
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