TABLE 10-7 A Buyer for a Manufacturing Plant Suspects That His Primary

question 151

Short Answer

TABLE 10-7
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.
Primary Secondary
Material Supplier Supplier 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
Sum: $309 $292 $17
Sum of Squares: $17,573 $15,472 $139
-Referring to Table 10-7, the hypotheses that the buyer should test are a null hypothesis that ________ versus an alternative hypothesis that ________.

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Definitions:

Raw Materials Inventory

The total cost of all the components lying in a manufacturing or production facility that have not yet been used or processed.

Underapplied Overhead

Occurs when the allocated manufacturing overhead cost is less than the actual overhead incurred, leading to under-recovered expenses.

Manufacturing Overhead

This includes all the indirect costs associated with manufacturing a product, such as utilities, indirect labor, and maintenance of equipment.

Manufacturing Overhead Applied

The process of assigning manufacturing overhead costs to the units produced, based on a predetermined overhead rate.