Question

Consider the experimental results for the following randomized block design. Make the calculations necessary to set...

Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.

Treatments
A B C
Blocks 1 10 9 8
2 12 6 5
3 18 16 14
4 20 18 18
5 8 7 8

Use α = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

H0: Not all the population means are equal.
Ha: μA = μB = μC

H0: μA = μB = μC
Ha: Not all the population means are equal.   

H0: μA = μB = μC
Ha: μA ≠ μB ≠ μC

H0: μA ≠ μB ≠ μC
Ha: μA = μB = μC

H0: At least two of the population means are equal.
Ha: At least two of the population means are different.

Find the value of the test statistic. (Round your answer to two decimal places.)

t stat =

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.   

Reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

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