Develop the analysis of variance computations for the followingcompletely randomized design. At α = 0.05, is there asignificant difference between the treatment means?
| Treatment |
|---|
| A | B | C |
|---|
| 136 | 108 | 92 |
| 119 | 115 | 81 |
| 112 | 124 | 85 |
| 107 | 103 | 102 |
| 131 | 107 | 88 |
| 113 | 108 | 118 |
| 129 | 96 | 111 |
| 113 | 115 | 120 |
| 103 | 97 |
| 81 | 106 |
xj | 120 | 106 | 100 |
|---|
sj2 | 112.86 | 137.56 | 187.56 |
|---|
State the null and alternative hypotheses.
H0: μA =μB = μC
Ha: μA ≠μB ≠μCH0:μA ≠μB ≠μC
Ha: μA =μB =μC     H0:μA = μB =μC
Ha: Not all the population means areequal.H0: At least two of the population meansare equal.
Ha: At least two of the population means aredifferent.H0: Not all the population means areequal.
Ha: μA =μB = μC
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to four decimalplaces.)
p-value =
State your conclusion.
Do not reject H0. There is sufficientevidence to conclude that the means of the three treatments are notequal.Do not reject H0. There is not sufficientevidence to conclude that the means of the three treatments are notequal.     Reject H0.There is not sufficient evidence to conclude that the means of thethree treatments are not equal.Reject H0. Thereis sufficient evidence to conclude that the means of the threetreatments are not equal.
