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

question 164

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. $$\begin{array} { c c c } \text { Exercise A } & \text { Exercise B } & \text { Exercise } \mathbf { C } \\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$$ 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:

F-ratio Equation

Used in ANOVA tests, it calculates the ratio of variation between group means to the variation within the groups.

Correlation

Mutual or reciprocal relationship between two variables such that systematic changes in the values of one variable are accompanied by systematic changes in the values of another variable.

Regression

Use of a relationship between two or more correlated variables to predict values of one variable from values of other variables.

Measuring

The act of determining the size, quantity, or degree of something using standard units or tools.