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Source Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 3 1,158.8 2.95 Between Blocks 5,100 6 850 Error 7,074 18 393 Total 27 (Round to 2 decimal places.) (a) State the null and alternative hypotheses. Ho: Treatment 1 = Treatment 2 = Treatment 3 Ha: Treatment 1 * Treatment 2 * Treatment 3 * 0 Ho: Treatment 1 * Treatment 2 * Treatment 3 * Treatment 4 H: At least two of the population treatment means are different. Ho: Treatment 1 = Treatment 2 = Treatment 3 H: At least two of the population treatment means are different. Ho: At least two of the population treatment means are different. Ha: Treatment 1 * Treatment 2 * Treatment 3 Ho: At least two of the population treatment means are different. Ha: Treatment 1 * Treatment 2 * Treatment 3 * Treatment 4 (b) Test the null hypothesis stated in Part (a) at the 0.01 level of significance. Be sure to state your conclusion. Calculate the p-value. (Round your answer to 3 decimal places.) What conclusions can we draw? We should reject Ho and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. We should not reject Ho and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. We should not reject Ho and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. We should reject Ho and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. (c) Would it be appropriate to apply Fisher's LSD procedure to perform pairwise comparisons between the means? No, it would not be appropriate to use Fisher's LSD procedure because we are working with a randomized block design. Yes, it would be appropriate to use Fisher's LSD procedure because it will help us to identify which pairs of means are different. No, it would not be appropriate to use Fisher's LSD procedure because our initial analysis concluded that there is not sufficient evidence to suggest a difference between the four treatment means.

Source Variation Sum of Squares Degrees of Freedom Mean Square F
Between Treatments
3 1,158.8 2.95
Between Blocks 5,100 6 850
Error 7,074 18 393
Total 27
(Round to 2 decimal places.)
(a) State the null and alternative hypotheses.
Ho: Treatment 1 = Treatment 2 = Treatment 3
Ha: Treatment 1 * Treatment 2 * Treatment 3 * 0
Ho: Treatment 1 * Treatment 2 * Treatment 3 * Treatment 4
H: At least two of the population treatment means are different.
Ho: Treatment 1 = Treatment 2 = Treatment 3
H: At least two of the population treatment means are different.
Ho: At least two of the population treatment means are different.
Ha: Treatment 1 * Treatment 2 * Treatment 3
Ho: At least two of the population treatment means are different.
Ha: Treatment 1 * Treatment 2 * Treatment 3 * Treatment 4
(b) Test the null hypothesis stated in Part (a) at the 0.01 level of significance. Be sure to state your conclusion.
Calculate the p-value.
(Round your answer to 3 decimal places.)
What conclusions can we draw?
We should reject Ho and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means.
We should not reject Ho and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means.
We should not reject Ho and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means.
We should reject Ho and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means.
(c) Would it be appropriate to apply Fisher's LSD procedure to perform pairwise comparisons between the means?
No, it would not be appropriate to use Fisher's LSD procedure because we are working with a randomized block design.
Yes, it would be appropriate to use Fisher's LSD procedure because it will help us to identify which pairs of means are different.
No, it would not be appropriate to use Fisher's LSD procedure because our initial analysis concluded that there is not sufficient evidence to suggest a difference between the four treatment means.

Added by Joaquin L.

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