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:

One-Sample Tests

Statistical tests used to compare the mean of a sample to a known value or standard, in order to assess if the sample comes from a population with that specific mean.

Alternative Hypotheses

In statistical testing, a hypothesis that suggests a difference or effect contrary to the null hypothesis, essentially proposing that an observed effect is real.

Null

In statistics, this refers to the null hypothesis, which is a default hypothesis that there is no significant difference or effect.

Average Profit

The mean financial gain computed by dividing the total profit by the number of units sold or transactions, providing insight into overall profitability.