Test the Claim That the Samples Come from Populations with the Same

question 43

Essay

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. The data below represent the
weight losses for people on three different exercise programs. $$\begin{array} { c c c } \text { Exercise A } & \text { Exercise B } & \text { Exercise C } \\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$$ At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs?

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Definitions:

Gender

The range of characteristics pertaining to, and differentiating between, masculinity and femininity, often influenced by social and cultural factors rather than biology alone.

Gender Identity

A person's own perception of their gender identity, which might differ from the sex designated at their birth.

Gender Role

Social and behavioral norms that are widely considered appropriate for individuals of a specific sex within a given culture.

Sex Characteristics

Physical or biological traits associated with male and female bodies, including both primary and secondary features.