Conduct Analysis of Variance on the Randomized Complete Block Design $\mu _ { 1 }$

question 46

Short Answer

Conduct Analysis of Variance on the Randomized Complete Block Design
-Assume that the data below come from populations that are normally distributed with the same variance. Let $\mu _ { 1 }$ be the mean for treatment $1 , \mu _ { 2 }$ the mean for treatment 2 , and $\mu _ { 3 }$ the mean for treatment 3 . In a test of $H _ { 0 }$ : $\mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }$ versus $H _ { 1 }$ : at least one of the means is different, the null hypothesis is rejected at the $\alpha = 0.05$ level of significance. Use Tukey's test to determine which pairwise means differ using a familywise error rate of $\alpha = 0.05$ . Give the $\mathrm { P }$ -value for each of the pairwise tests and state your conclusion.

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Definitions:

Parathyroid Glands

Small endocrine glands in the neck that produce parathyroid hormone (PTH), regulating calcium levels in the blood and bone metabolism.

Thyroid

A butterfly-shaped gland located in the neck below the Adam's apple, producing hormones that regulate the body's metabolic rate as well as heart and digestive function, muscle control, brain development, and bone maintenance.

Norepinephrine

A neurotransmitter and hormone important in the body's fight or flight response, affecting blood pressure and heart rate.

Emergency Situations

Scenarios or conditions that require immediate attention and action due to the potential risk to life, health, property, or environment.