The Data Below Represent the Weight Losses for People on Three

question 172

Essay

The data below represent the weight losses for people on three different exercise programs. $\begin{array}{ccc}\text { Exercise A }&\text { Exercise B }&\text { Exercise C }\\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$ 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 $$\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 } , \text { and } \mu _ { 1 } = \mu _ { 3 } ?$$

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Definitions:

CAM

Crassulacean Acid Metabolism, a photosynthetic adaptation in some plants allowing them to conserve water by fixing CO2 at night.

Plants

Multicellular, primarily photosynthetic organisms of the kingdom Plantae, which play a crucial role in the Earth's ecosystems and human agriculture.

Carbon Fixation

The process by which inorganic carbon is converted into organic compounds by living organisms, crucial in the earth's carbon cycle.

Plant Growth

The increase in size or number of cells of plants, influenced by factors such as light, water, nutrients, and genetic characteristics.