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) \(\mu _ { \mathrm { HRD } }\) & \(\mu _ { \mathrm { GIA } }\)

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Definitions:

Classical Conditioning

A learning process that occurs through associations between an environmental stimulus and a naturally occurring stimulus, famously demonstrated by Pavlov's dogs experiment.

Conditioned Response

A learned response to a previously neutral stimulus that occurs after conditioning or training.

Dependent Variable

In research, the variable that is being measured and is expected to change in response to manipulations of the independent variable.

Median

A statistical measure that represents the middle value in a given set of data when the values are arranged in ascending or descending order.