The Department of Transportation Would Like to Test the Hypothesis

question 84

Multiple Choice

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 years. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set α = 0.05. Which one of the following statements is true?

• A)Because the p- value is less than α, we fail to reject the null hypothesis and conclude that the average age of cars on the road is less than 12 years.
• B)Because the p- value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average age of cars on the road is less than 12 years.
• C)Because the p- value is less than α, we reject the null hypothesis and conclude that the average age of cars on the road is less than 12 years.
• D)Because the p- value is greater than α, we reject the null hypothesis and cannot conclude that the average age of cars on the road is less than 12 years.

---

Definitions:

Linear Manner

In a direct and proportional way, where changes in one quantity lead to predictable and constant changes in another.

Values Increase

refers to a scenario where numerical values or quantities grow or become larger.

Scatter Diagram

A graphical representation of two variable data points that helps to determine the relationship between them.

Linear Relationship

A type of relation between two variables where the change in one variable is directly proportional to the change in another variable.