SCENARIO 11-7 a Student Team in a Business Statistics Course Designed an Designed

question 77

Short Answer

SCENARIO 11-7
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.

-Referring to Scenario 11-7,the among-group variation or SSA is .

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Definitions:

Simple Correlation Analysis

A statistical technique that measures the strength and direction of a linear relationship between two continuous variables.

Multiple Correlation Analysis

A statistical method used to understand the relationship between one dependent variable and two or more independent variables.

Variables

Represent individual data points or attributes that can change and be measured or observed.

MSE

Mean Squared Error, a measure of the average of the squares of the errors—that is, the difference between the estimator and what is estimated.