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Instruction 10-5
a Buyer for a Manufacturing Plant Suspects That

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Instruction 10-5
A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging. In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on similar various materials. He wants to compare these prices with those of his primary supplier. The data collected is presented in the table below, with some summary statistics presented (all of these might not be necessary to answer the questions which follow). The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01.
MaterialPrimary SupplierSecondaryDifference Supplier 1$55$45$102$48$47$13$31$32$14$83$77$65$37$37$06$55$54$1 Sum: $309$292$17 Sum of Squares: $17,573$15,472$139\begin{array}{llll}\text {Material}&\text {Primary Supplier}&\text {Secondary}&\text {Difference}\\&&\text { Supplier }\\ 1 & \$ 55 & \$ 45 & \$ 10 \\2 & \$ 48 & \$ 47 & \$ 1 \\3 & \$ 31 & \$ 32 & -\$ 1 \\4 & \$ 83 & \$ 77 & \$ 6 \\5 & \$ 37 & \$ 37 & \$ 0 \\6 & \$ 55 & \$ 54 & \$ 1 \\\hline \text { Sum: } & \$ 309 & \$ 292 & \$ 17 \\\text { Sum of Squares: } & \$ 17,573 & \$ 15,472 & \$ 139\end{array}

-Referring to Instruction 10-5,what is the 90% confidence interval estimate for the mean difference in prices?

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Definitions:

Globalization

The process by which businesses or other organizations develop international influence or start operating on an international scale, leading to a more interconnected and interdependent world.

Nation-States

Political entities consisting of a clearly defined territory and government that represents a sovereign entity, typically recognized by other states.

Absolute Poverty

A condition characterized by the severe deprivation of basic human needs, including food, safe drinking water, sanitation facilities, health, shelter, and education.

Basic Needs

Fundamental requirements necessary for individuals to live a healthy and comfortable life, such as food, water, shelter, and clothing.

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