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

question 146

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.  Exercise A  Exercise B  Exercise C 2.55.84.38.84.96.27.31.15.89.87.88.15.11.27.9\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?


Definitions:

Taxable Income

The amount of income used to calculate how much tax an individual or a company owes to the government.

Total Tax

The combined amount of all taxes owed by an individual or corporation in a given year, including federal, state, and local taxes.

Retained Earnings

Retained earnings are the portion of a company's profits that is kept or retained within the business for reinvestment or to pay debt, rather than being distributed to shareholders as dividends.

Liability

A company's legal financial debts or obligations that arise during the course of business operations.

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