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:

Ejaculatory Duct

The duct through which semen is ejaculated, running from the seminal vesicle to the urethra.

Rete Testis

The rete testis is a network of tubules in the testis that transport sperm from the seminiferous tubules to the efferent ducts.

Seminal Vesicles

Glandular structures located near the prostate that produce a significant portion of the fluid that becomes part of semen, rich in proteins and enzymes that support sperm viability and motility.

Membranous Urethra

Portion of the male urethra, approximately 1 cm in length, extending from the prostate gland to the beginning of the penile urethra.