A Fleet of Rental Cars - All the Same Make $23.4$

question 66

Multiple Choice

A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of $23.4$ miles per gallon (mpg) . A random sample of 56 cars are selected and the air filter of each is replaced with a new one. Let $\mu$ be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if $\mu > 23.4$ mpg. A test is made of $H _ { 0 } : \mu = 23.4$ versus $H _ { 1 } : \mu > 23.4$ .
Assume that the air filter changes are not effective. Which type of error is impossible?

• A) Type I
• B) Type II

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Definitions:

Unemployment Insurance

A government program that provides temporary financial assistance to workers who have lost their jobs through no fault of their own, designed to help sustain them while they seek new employment.

Previous Wages

The past earnings or salaries received by an individual from employment or labor.

Means-Tested

A determination of who is eligible for government assistance based on financial need or income.

Indexed Benefit

A type of benefit or payment that is adjusted according to a specified index, often to keep up with inflation or cost of living changes.