Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
An equestrian enthusiast is interested in the racing times of horses. She believes an older horse will have a faster race time than a younger horse. She selects a random sample of 17 sibling pairs of adult horses and records their times for running on the same track. The mean difference (older – younger) in the times to run the track is –15.7 seconds with a standard deviation of 8.3 seconds. Are the conditions for inference met?
Answer
A
No. The random condition is not met.
B
No. The 10% condition is not met.
C
No. The Normal/Large Sample condition is not met because the sample size is too small and the shape of the distribution of differences is not known.