Use the Data Given Below to Answer the Following Question(s)

question 34

Essay

Use the data given below to answer the following question(s).
The following extract from a manufacturer's database shows a sample of 10 suppliers, their transportation charges, and the estimated and actual total costs of supplying materials. (Note: Assume a significance level of 0.05 wherever necessary.) $$\begin{array} { | l | c | c | c | } \hline \text { Supp lier } & \begin{array} { c } \text { Transportation } \\\text { Charges }\end{array} & \begin{array} { c } \text { Estimated Total } \\\text { Cost }\end{array} & \begin{array} { c } \text { Actual Total } \\\text { Cost }\end{array} \\\hline \text { Peter } & 340 & 4,500 & 4,680 \\\hline \text { John } & 560 & 4,500 & 4,790 \\\hline \text { Martin } & 480 & 4,500 & 5,110 \\\hline \text { Philip } & 290 & 4,500 & 4,780 \\\hline \text { Mark } & 370 & 4,500 & 4,810 \\\hline \text { Thomas } & 520 & 4,500 & 4,770 \\\hline \text { Jaison } & 350 & 4,500 & 5,250 \\\hline \text { David } & 430 & 4,500 & 4,930 \\\hline \text { Carter } & 510 & 4,500 & 5,010 \\\hline \text { Leonard } & 270 & 4,500 & 4,810 \\\hline\end{array}$$
-Conduct the appropriate type of one-sample test-statistic to determine whether the average transportation charge is less than $430. Apply a decision rule using the observed level of significance and draw a conclusion.

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Definitions:

Medium Range

Refers to a period or distance that is neither short nor long, often contextually defined, such as in planning or forecasting.

Mathematical Model

A representation in mathematical terms of a real-world situation, using equations to simulate and study complex phenomena.

Time Horizon

The length of time over which an investment, project, or strategic plan is expected to unfold or achieve its goals.

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