307 Diamonds Were Sampled and Randomly Sorted into Three Groups

question 32

Short Answer

307 diamonds were sampled and randomly sorted into three groups of diamonds. These diamonds were randomly assigned to one of the three organizations, or groups (HRD, GIA, or IGI), that certify the appraisal of diamonds. A study was conducted to determine if the average size of diamonds reported by these three certification groups differ. A completely randomized design was used and the Bonferroni multiple comparison results are shown below. $\begin{array} { l c c } \text { CERT } & \text { Mean } & \text { Bonferroni Groups } \\ \text { HRD } & 0.8129 & \text { A } \\ \text { GIA } & 0.6723 & \text { B } \\ \text { IGI } & 0.3665 & \text { C } \end{array}$

Alpha $0.05$

Give the population mean(s) which are in the statistically largest group.
A) $\mu \mathrm { HRD }$
B) $\mu _ { \mathrm { GIA } }$
C) $\mu \mathrm { IGI }$
D) $\mu _ { \mathrm { HRD } }$ & $\mu _ { \mathrm { GIA } }$

• A) \(\mu \mathrm { HRD }\)
• B) \(\mu _ { \mathrm { GIA } }\)
• C) \(\mu \mathrm { IGI }\)
• D) \(\mu _ { \mathrm { HRD } }\) & \(\mu _ { \mathrm { GIA } }\)

---

Definitions:

Gay Marriages

Legal or socially recognized marriages between two individuals of the same gender.

Marital Bias

Preconceived notions or unfair treatment based on an individual's marital status.

Single People

Individuals who are not currently in a marital or comparable committed relationship and may prioritize personal, social, or career goals differently from those in partnerships.

Prejudice

A preconceived opinion or judgment towards people, objects, or situations without adequate information, often stemming from stereotypes or biases.