Question

The following data set represents the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies.

Car Company A: 35, 28, 35, 30, 31, 38, 35, 30
Car Company B: 29, 33, 36, 27, 34, 34, 34, 25

Which of the following statements is true?

(1 point)
Responses

The cars from Company B have higher modal highway fuel efficiency than Company A.
The cars from Company B have higher modal highway fuel efficiency than Company A.

The cars from both companies have the same mean, median, and modal highway fuel efficiency.
The cars from both companies have the same mean, median, and modal highway fuel efficiency.

The cars from Company A have higher median highway fuel efficiency than Company B.
The cars from Company A have higher median highway fuel efficiency than Company B.

The cars from Company A have a higher mean highway fuel efficiency that Company B.

Answer 1

Compute the summary statistics:

Company A (n=8): 28, 30, 30, 31, 35, 35, 35, 38
- Mean = 262/8 = 32.75 mpg
- Median = (31+35)/2 = 33.0 mpg
- Mode = 35 mpg

Company B (n=8): 25, 27, 29, 33, 34, 34, 34, 36
- Mean = 252/8 = 31.5 mpg
- Median = (33+34)/2 = 33.5 mpg
- Mode = 34 mpg

Therefore the true statement is: "The cars from Company A have a higher mean highway fuel efficiency than Company B."