Laboratory animals were reared under three different conditions. The animals wer
ID: 3233106 • Letter: L
Question
Laboratory animals were reared under three different conditions. The animals were randomly assigned to each group. The following table shows the aggression scores for each animal. Does the mean aggression score differ for the three groups? Use a 5% level of significance. Make sure to 1. give the null and alternative hypotheses, 2. calculate the test statistic, and 3. give the conclusion (including a comparison to alpha or the critical value) to receive full credit.
Rearing Condition
Extremely Crowded
Moderately Crowded
Not Crowded
30
30
30
25
35
30
20
25
30
30
20
10
15
20
20
20
25
30
20
25
10
10
20
10
10
20
10
20
10
10
Extremely Crowded
Moderately Crowded
Not Crowded
30
30
30
25
35
30
20
25
30
30
20
10
15
20
20
20
25
30
20
25
10
10
20
10
10
20
10
20
10
10
Explanation / Answer
null hypothesis:mean agression score are same for 3 groups
alternate hypothesis: mean agression scores are different for at least 2 of the groups
here test statistic =25.5472
3) as p value is less then 0.05 level of significance we reject null hypothesis and conclude that at least 2 of group have different agression mean scores.
Groups Count Sum Average Variance Extremely Crowded 10 285 28.5 16.94444 Moderately Crowded 10 205 20.5 30.27778 Not Crowded 10 130 13 23.33333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1201.667 2 600.8333 25.54724 5.93E-07 3.354131 Within Groups 635 27 23.51852 Total 1836.667 29Related Questions
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