## Analysis of Variance for Completely Randomized DesignThe table below presents data for an analysis of variance (ANOVA) to determine if there is a significant difference between the means of three treatments: A, B, and C. The level of significance is set at α = 0.05.### Data Table| Treatment | | ||-----------|------|------|| **A** | **B** | **C** || 135 | 107 | 91 || 119 | 114 | 83 || 114 | 124 | 86 || 106 | 104 | 101 || 132 | 108 | 89 || 115 | 110 | 116 || 129 | 96 | 109 || 94 | 113 | 119 || | 103 | 98 || | 81 | 98 |### Treatment Means- $ \bar{x}_A = 118 $- $ \bar{x}_B = 106 $- $ \bar{x}_C = 99 $### Treatment Variances- $ s_A^2 = 193.14 $- $ s_B^2 = 132.89 $- $ s_C^2 = 153.78 $This data will be used to conduct an ANOVA test to determine if there are statistically significant differences between the treatment means. **State the Null and Alternative Hypotheses**- $ H_0 $: Not all the population means are equal. $ H_a $: $\mu_A = \mu_B = \mu_C$- $ H_0 $: $\mu_A \neq \mu_B \neq \mu_C$ $ H_a $: $\mu_A = \mu_B = \mu_C$- $ H_0 $: $\mu_A = \mu_B = \mu_C$ $ H_a $: $\mu_A \neq \mu_B \neq \mu_C$- $ H_0 $: At least two of the population means are equal. $ H_a $: At least two of the population means are different.- $ H_0 $: $\mu_A = \mu_B = \mu_C$ $ H_a $: Not all the population means are equal.**Find the Value of the Test Statistic** (Round your answer to two decimal places.)\[ \boxed{} \]**Find the $ p $-value** (Round your answer to four decimal places.)\[ p\text{-value} = \boxed{} \]**State your Conclusion**- $ \circ $ Reject $ H_0 $. There is not sufficient evidence to conclude that the means of the three treatments are not equal.- $ \circ $ Do not reject $ H_0 $. There is sufficient evidence to conclude that the means of the three treatments are not equal.- $ \circ $ Reject $ H_0 $. There is sufficient evidence to conclude that the means of the three treatments are not equal.- $ \circ $ Do not reject $ H_0 $. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

Answered: State the null and alternative…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We conduct a test of hypothesis of Ho : p = 0.3 vs. HA : p > 0.3. The value of the test statistic is -2.00. Which picture represents the appropriate p-value? A -2 C Select one: a. A b. B С. C d. D O O O O
1
The procedure or methodology it is the one by which we infer through a the argument that the researcher establishes about the 1. Sample 2. Does not reject 3. Population 4. Hypothesis test Sample Does not reject 2. 3. Population 4. Hypothesis test Sample Does not reject 1. 2. 3 Population Hypothesis test
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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of a = 0.10. According to your sample, 37 out of 69 potential voters prefer the Democratic candidate.

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