Question 158718 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26
Recall information from the previous task. One study of 91 bald eagle eggs found that the eggs had a mean length of 73.6 millimeters and standard deviation of 2.9 millimeters.One bald eagle egg was 74.9 millimeters long. The z-score for this egg was 0.45.Which statements correctly interpret the z-score? Choose two correct answers.The length of this egg was 0.45 standard deviations above the mean length.This egg was 0.45 millimeters longer than the mean.This egg was longer than 45 percent of the eggs in the study.This egg was longer than the mean by 0.45 standard deviations, or 1.3 millimeters.The length of this egg was 0.45 times the mean.
Answer
A
The length of this egg was 0.45 standard deviations above the mean length.
B
This egg was 0.45 millimeters longer than the mean.
C
This egg was longer than 45 percent of the eggs in the study.
D
This egg was longer than the mean by 0.45 standard deviations, or 1.3 millimeters.
E
The length of this egg was 0.45 times the mean.
Explanation
A z-score of 0.45 means the egg’s length was 0.45 standard deviations above the mean, so statement A is correct. The egg was 74.9 − 73.6 = 1.3 millimeters longer than the mean; this is approximately 0.45 × 2.9 millimeters, so statement D is also correct. A z-score alone does not mean the egg was longer than 45 percent of the eggs.
AI-written and checked against the verified answer.