Question

A brand of frozen green beans lists a weight of 32 ounces on its bag. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans and records their weights. The weights and their relative frequencies are summarized in the histogram below.

Which is a true statement about the bags of green beans in the sample?

A. Twenty percent of the bags have a weight below 32.2 ounces.
B. Sixty percent of the bags have a weight over 32.2 ounces.
C. Eighty percent of the bags have a weight over 32.2 ounces.
D. The interval from 32.3 to 32.4 contains the highest proportion of bags.

Answer 1

The true statement about the bags of sample from the histogram given is Option B - "Sixty percent of the bags have a Weight over 32.2 ounces."

From the histogram given;

Weight above 32.2 ounces = 0.36 + 0.24 = 0.60 ≈ 60%

Weight below 32.2 ounces = 0.2 + 0.12 + 0.04 + 0.04 = 0.40 ≈ 40%

This means that the true statement is 60% of bags have a weight over 32.2 ounces.