## 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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9.15 Toxic Mushrooms? Cadmium, a heavy metal, is toxic to ani- mals. Mushrooms, however, are able to absorb and accumulate cad- mium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and pub- lished the results in the paper "Influence of Some Factors in Toxi- city and Accumulation of Cd from Edible Wild Macrofungi in NW Spain" (Journal of Environmental Science and Health, Vol. B33(4), pp. 439-455). A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government's recommended limit.
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