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During the Gulf War, a Government Official Claimed That the Average

question 97

Essay

During the Gulf War, a government official claimed that the average car owner refilled the fuel tank when there was more than 3 litres of petrol left. To check the claim, 10 cars were surveyed as they entered a service station. The amount of petrol (in litres) was measured and recorded as shown below. 3532332641\begin{array} { | r | r | r | r | r | r | r | r | r | r | } \hline 3 & 5 & 3 & 2 & 3 & 3 & 2 & 6 & 4 & 1 \\\hline\end{array} Assume that the amount of petrol remaining in the tanks is normally distributed with a standard deviation of 1 litre.
A) Calculate the p-value.
B) Compute the probability of a Type II error if the true average amount of gas remaining in tanks is 3.5 litres.

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Definitions:

Articles of Confederation

The original constitution of the 13 American states, adopted in 1781 and replaced by the U.S. Constitution in 1789, which provided a loose federal government.

Tariff Duties

Taxes imposed by a government on imported or exported goods to protect domestic industries or generate revenue.

Coastal States

Regions located along the coastline, often characterized by their unique economic, cultural, and environmental aspects due to proximity to the ocean.

Empress of China

A historical reference to the first American ship to trade with China, setting sail in 1784 and marking the beginning of Sino-American trade relations.

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