The Data Below Represent the Weight Losses for People on Three

question 40

Essay

The data below represent the weight losses for people on three diets. $\begin{array}{lcc}\text { Diet A } & \text { Diet B } & \text { Diet C } \\\hline 1.75 & 3.8 & 4.8 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 6.9\end{array}$
If we want to test the claim that the three size categories have the same means, why don't we use three separate hypothesis tests for $\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 }$ , and $\mu _ { 1 } = \mu _ { 3 }$ ?

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Definitions:

Alcoholic Fermentation

A biological process by which sugars such as glucose, fructose, and sucrose are converted by yeast or bacteria into cellular energy, producing ethanol and carbon dioxide as side products.

Acetaldehyde

A volatile, flammable, and colorless liquid compound, which is a common intermediate in the synthesis of various chemicals and a byproduct of alcohol metabolism.

NADH

Nicotinamide adenine dinucleotide (NADH) is a coenzyme found in all living cells, involved in redox reactions, carrying electrons from one reaction to another.

Ethanol

A volatile, flammable, colorless liquid alcohol widely used as a biofuel, in alcoholic beverages, and as a solvent in the pharmaceutical industry.