The Average Diameter of Sand Dollars on a Certain Island

question 13

Multiple Choice

The average diameter of sand dollars on a certain island is 3.00 centimeters with a standard deviation of 1.00 centimeters. If 9 sand dollars are chosen at random for a
Collection, find the probability that the average diameter of those sand dollars is more
Than 2.60 centimeters. Assume that the variable is normally distributed.

• A) 0.885
• B) 0.385
• C) 0.615
• D) 0.820

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Definitions:

ANOVA Models

ANOVA models are statistical models used to analyze the differences among group means in a sample, typically by comparing variance between groups to variance within groups.

Degrees of Freedom

The count of independent variables or measurements that can be allocated to a statistical distribution, subtracting the quantity of estimated parameters.

Number of Blocks

In experimental design, the total count of groups or sets into which experimental units are divided for the purpose of minimizing variance due to confounding variables.

Randomized Block Design

A statistical experiment design that aims to reduce variability among experimental units by grouping them into blocks before randomly assigning treatments.