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

question 40

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.
-Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05. $\begin{array}{ccc}\text { Brand } \mathrm{A} &\text { Brand } \mathrm{B} &\text { Brand } \mathrm{C}\\\hline\mathrm{n}=10 & \mathrm{n}=10 & \mathrm{n}=10 \\\overline{\mathrm{x}}=32.6 & \overline{\mathrm{x}}=31.7 & \overline{\mathrm{x}}=27.4 \\\mathrm{~s}^{2}=4.51 & \mathrm{~s}^{2}=4.22 & \mathrm{~s}^{2}=4.69\end{array}$

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Definitions:

Commodity

A basic good used in commerce that is interchangeable with other goods of the same type, often traded on futures exchanges.

Futures Contract

A contract to purchase or sell a specified commodity or financial instrument at an agreed-upon price at a future date.

Credit Risk

The risk that the bond will not make all of its promised payments; default risk.

Swap Market

A market in which individuals, businesses, and institutions exchange financial instruments, like interest rates or currencies.