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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,the decision rule is to reject the null hypothesis if__________.


Definitions:

DecimalFormat Object

An object in Java programming used for formatting decimal numbers into a specific string pattern (e.g., with a certain number of decimal places).

Format Specifiers

In programming, sequences of characters within string literals that are placeholders for formatting and inserting various data types into strings.

Represent

To symbolize or stand for something, often used in programming and modeling to indicate how entities or concepts are modeled in code.

Importing Package

The process of making classes and interfaces from one package available to another by using the import statement in languages like Java.

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