7. Let 1, 2, 3, 4 be the means of FOUR normal distributions with a common, but unknown, variance, ². In order to test, at the a=.01 significance level, the hypothesis Ho 1 = 2 = 3 = 44, we take a random sample of size five from each of these distributions. Determine whether Ho should be accepted or rejected, if the following values are the observed sample values: Distribution 1 2 3 16 19 23 10 11 20 15 13 25 21 19 29 26 19 28 24 31 12 16 22 A) Show the entire ANOVA table. B) Identify the critical region C) What is your decision for the hypothesis test? Justify your decision.

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Please help me solve for A,B,C.
7. Let μ1, 2, 3, 4 be the means of FOUR normal distributions with a common, but unknown,
variance, ². In order to test, at the a=.01 significance level, the hypothesis
Ho 1 = 2 = 3 = 4, we take a random sample of size five from each of these
distributions. Determine whether Ho should be accepted or rejected, if the following values are
the observed sample values:
Distribution
1
2
3
12
16
25
22
16 19 23 10
11 20 15 13
21 19 29 26
19 28 24 31
A) Show the entire ANOVA table.
B) Identify the critical region
C) What is your decision for the hypothesis test? Justify your decision.
Transcribed Image Text:7. Let μ1, 2, 3, 4 be the means of FOUR normal distributions with a common, but unknown, variance, ². In order to test, at the a=.01 significance level, the hypothesis Ho 1 = 2 = 3 = 4, we take a random sample of size five from each of these distributions. Determine whether Ho should be accepted or rejected, if the following values are the observed sample values: Distribution 1 2 3 12 16 25 22 16 19 23 10 11 20 15 13 21 19 29 26 19 28 24 31 A) Show the entire ANOVA table. B) Identify the critical region C) What is your decision for the hypothesis test? Justify your decision.
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