SOLUTION: Three samples below have been obtained from normal populations with equal variances. Test the hypothesis at 5% level that the population means are equal. A B C 8 7 12 10 5

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Question 876266: Three samples below have been obtained from normal populations with equal
variances. Test the hypothesis at 5% level that the population means are equal.
A B C
8 7 12
10 5 9
7 10 13
14 9 12
11 9 14
[The table value of F at 5% level of significance for 1 = 2 and 2 = 12 is 3.88]

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
t =2%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29 = 2.0544 for A & B , B & C Comparisons
t =4%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29 = 4.10885 for A & C Comparisons
p-value = 2*P(t> 2.0544 when df = 4) = 2(.0546) = .1092
p-value = 2*P(t> 4.1089when df = 4) = 2(.0074) = = .0148
.0148 < .05
A&C comparison significantly says populations mean are NOT equal.
Recommend vassarstats.net/anova to check Your work