A Consumer Would Like to Know If There Is a Difference

question 149

Short Answer

A consumer would like to know if there is a difference in the performance of three different laundry detergents. Eighteen pieces of white cloth were soiled with grape juice then washed in one of the three detergents A, B, or C. The resulting whiteness readings are listed below, where the larger number indicates whiter fabric. How many degrees of freedom are associated with the F test statistic?
______________
Calculate the value of the test statistic F.
F = ______________
Set up the rejection region for = 0.05.
The rejection region is ______________.
What is the appropriate conclusion?
______________
The sample evidence ______________ that the true mean whiteness readings are not the same for the three detergents.
Develop a 95% confidence interval for .
CI = ______________ Enter (n1, n2)
Develop a 95% confidence interval for .
CI = ______________ Enter (n1, n2)

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Definitions:

Competitive Market

A market structure characterized by a large number of buyers and sellers, free entry and exit, and products that are similar enough to be interchangeable.

Long Run

A period of time in economics during which all inputs and conditions can be varied, allowing for full adjustment to changes.

Perfectly Competitive Market

A theoretical market structure characterized by an infinite number of buyers and sellers, where no single entity has the power to influence the market price.

Market Characteristics

Features that define a specific market, including the number of buyers and sellers, product differentiation, and level of competition.