TABLE 10-8
a Buyer for a Manufacturing Plant Suspects

question 182

Short Answer

TABLE 10-8
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 various identical 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.
$\begin{array}{crrr}&\text { Primary}&\text { Secondary }\\\underline{\text {Material }}&\underline{\text {Supplier}}&\underline{\text { Supplier }}&\underline{\text {Difference }}\\1 & \$ 55 & \$ 45 & \$ 10 \\2 & \$ 48 & \$ 47 & \$ 1 \\3 & \$ 31 & \$ 32 & -\$ 1 \\4 & \$ 83 & \$ 77 & \$ 6 \\5 & \$ 37 & \$ 37 & \$ 0 \\6 & \$ 55 & \$ 54 & \$ 1 \\\hline \text { Sum: } & \$ 309 & \$ 292 & \$ 17\\\text { Sum of Squares: } &\$ 17,573& \$ 15,472 &\$ 139\end{array}$




-Referring to Table 10-8, the p-value of the test is between ______and_____ .

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Definitions:

Judge

An official tasked with making decisions in legal cases or competitions; also, to form an opinion or conclusion about something.

Race

A social construct used to categorize humans into large and distinct populations or groups by heritable physical characteristics, social relations, or cultural history.

Scapegoat Theory

A theory suggesting that individuals may be singled out for blame or punishment to alleviate feelings of guilt or responsibility within a group.

Interracial Lynching

The act of murdering someone, typically by hanging, for an alleged offense with or without a legal trial, specifically where the victim and perpetrators are of different races.