Question

Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 × on each car and records the number of miles driven.

a) Experimental Design

b) Statistical Analysis

c) Hypothesis Testing

d) Data Collection

Answer 1

The question involves designing an experiment, statistical analysis, hypothesis testing, and data collection to determine the fuel efficiency of a car by measuring the number of miles driven on a fixed amount of gasoline.

Step-by-step explanation:

The student's question relates to a methodical approach for assessing the fuel efficiency of a car by measuring the number of miles driven on 10 gallons of gasoline. The procedure is as follows:

• Experimental Design: The design involves driving each car with a fuel load of 10 gallons until it runs out of gas and recording the distance covered. This is repeated 15 times for each car to get reliable data.
• Statistical Analysis: The data collected will be analyzed using statistical methods to determine the average number of miles and the variability of the results for each car.
• Hypothesis Testing: A hypothesis such as 'Car A is more fuel-efficient than Car B' can be tested using the collected data.
• Data Collection: Systematic recording of the number of miles driven by each car on the 10 gallons of gasoline during the 15 trials.

This approach allows the consumer to make an evidence-based decision regarding the fuel efficiency of different cars.