TABLE 10-8
a Buyer for a Manufacturing Plant Suspects

question 57

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 calculated value of the test statistic is_____ .

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Definitions:

Reciprocal Exchange

A mutual exchange of goods, services, or social favors between two or more parties.

Personal Information

Data or details that pertain to an individual's identity, background, or personal characteristics, often considered private or sensitive.

Attraction

A force that draws people together, often leading to emotional, intellectual, or physical relationships.

Classically Beautiful

Adhering to traditional standards of beauty, often characterized by symmetry, harmony, and universally recognized aesthetic attributes.