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 11 9 8 2 12 6 5 3 18 15 14 4 20 18 18 5 8 7 8 Use ? = 0.05 to test for any significant differences.
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 11 9 8 2 12 6 5 3 18 15 14 4 20 18 18 5 8 7 8 Use ? = 0.05 to test for any significant differences.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 | 11 | 9 | 8 | ||
| 2 | 12 | 6 | 5 | |||
| 3 | 18 | 15 | 14 | |||
| 4 | 20 | 18 | 18 | |||
| 5 | 8 | 7 | 8 |
Use ? = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
-H0: Not all the population means are equal.
Ha: ?A = ?B = ?C
Ha: ?A = ?B = ?C
-H0: ?A = ?B = ?C-
Ha: Not all the population means are equal.
-H0: ?A = ?B = ?C
Ha: ?A ≠ ?B ≠ ?C
Ha: ?A ≠ ?B ≠ ?C
-H0: At least two of the population means are equal.
Ha: At least two of the population means are different.
Ha: At least two of the population means are different.
-H0: ?A ≠ ?B ≠ ?C
Ha: ?A = ?B = ?C
Ha: ?A = ?B = ?C
Find the value of the test statistic. (Round your answer to two decimal places.)
Test statistic=??
Find the p-value. (Round your answer to three decimal places.)
p-value = ??
State your conclusion.
-Reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal
-.Do not 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.
-Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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