Question

In cell C₂0, determine the lower value for the interval of miles traveled on a full tank of gas around the mean that includes approximately 68% of miles for this car.

Answer 1

To determine the lower value for the interval of miles traveled on a full tank, calculate the mean mpg and standard deviation of the given mpg ratings, then subtract one standard deviation from the mean to find the lower bound. Multiply this lower bound mpg by the capacity of the gas tank to estimate the travel miles in the interval.

Step-by-step explanation:

The question is asking to find the lower value for the interval around the mean that includes approximately 68% of the data for miles traveled on a full tank of gas. This involves the concept of standard deviation (SD) and the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within one SD of the mean. First, we need to estimate the mean and SD from the list of cars' miles-per-gallon (mpg) ratings provided.

Here is a step-by-step guide to solving this problem:

1. Calculate the mean mpg by adding all the mpg ratings and dividing by the total number of cars.
2. Calculate the SD of the mpg ratings.
3. Apply the Empirical Rule to find the interval: mean - SD (lower bound) to mean + SD (upper bound).
4. Estimate the miles of travel on a full tank by multiplying the lower bound by the capacity of the gas tank.