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You are given an ANOVA table below with some missing entries. Source Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 3
You are given an ANOVA table below with some missing entries. Source Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 3 1, 168.8 Between Blocks 5,100 6 850 Error 6,714 18 Total 27 (a) State the null and alternative hypotheses. O Ho: At least two of the population treatment means are different. Hai Treatment 1 = Treatment 2 = Treatment 3 = Treatment 4 O Ho: At least two of the population treatment means are different. Ha! "Treatment 1 = /Treatment 2 Treatment 3 O Ho: Treatment 1 = /Treatment 2 - Treatment 3 = Treatment 4 He: At least two of the population treatment means are different. O Ho Treatment 1 = /Treatment 2 = Treatment 3 Hai "Treatment 1 * /Treatment 2 * /Treatment 3 = 0 O Ho: Treatment 1 = /Treatment 2 = Treatment 3 Ha: At least two of the population treatment means are different. (b) Compute the sum of squares due to treatments. (c) Compute the mean square due to error. (d) Compute the total sum of squares.(e) Compute the test statistic F. (Round your answer to two decimal places.) (f) Test the null hypothesis stated in Part (a) at the 1% level of significance. Be sure to state your conclusion. Calculate the p-value. (Round your answer to three decimal places.) What conclusions can we draw? O We should not reject / and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. O We should reject A and conclude that there is sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. O We should reject H and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means. O We should not reject A and conclude that there is not sufficient evidence in the data to suggest that a significant difference exists among the four treatment means
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