3 populations, and we want to know if the populations have the same mean. A B C

Question

3 populations, and we want to know if the populations have the same mean.

A      B    C      xbar = 62 A          s = 5.244 A

58    58    48                 66 B                5.148 B

64    69    57                52 C                5.568 C

55    71    59

66    64    47     s^2   =  27.5 A

67    68    49                  26.5 B

62    66    52                  31.0 C

1. state null hypothese

2. assuming null hypothesis is correct, estimate the population variance

3. using the individual sample variances, compute the within-treatments estimate of the variance

4. compute the test statistic

5. at 95% confidence test to determine if the is a significant difference in the means of the 3 populations.

"need all work"

Explanation / Answer

1.Null hypothesis is Ho:mu1=mu2=mu3 vs H1: Ho is false.

2.population variance=variance of A+variance of B+variance of C=27.5+26.5+31.0=85

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