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

question 20

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 $\mathrm { H } _ { 0 }$ : $\mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }$ versus $\mathrm { H } _ { 1 }$ : 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.

---

Definitions:

Principal

The primary party involved in a transaction or contract, or the amount of money originally invested or loaned, before interest.

Agent

An individual or entity authorized to act on behalf of another (the principal) in legal or business matters.

Manifestations

Manifestations refer to displays or expressions of an act, event, or condition, revealing the presence or existence of something.

Reasonable Understanding

A standard determining what a typical person would comprehend in a given set of circumstances.