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

question 3

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. $$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } \hline 3 & 5 & 3 & 2 & 3 & 3 & 2 & 6 & 4 & 1 \\\hline\end{array}$$ Assume that the amount of petrol remaining in the tanks is normally distributed with a standard deviation of 1 litre.
Can we conclude at the 10% significance level that the official was correct?

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Definitions:

In Vivo

A term used in therapy and research to refer to treatments or experiments conducted in the natural environment.

Periodic In Vivo

A term possibly referring to the repeated, real-life application or practice of skills or techniques as part of therapy or training, occurring at regular intervals.

Relaxation Techniques

Activities or exercises designed to reduce stress and induce a state of calmness, such as deep breathing, meditation, or yoga.

Acceptance And Commitment Therapy

is a form of psychotherapy that uses acceptance and mindfulness strategies, together with commitment and behavior change strategies, to increase psychological flexibility.