Asked by Nancy Quezada on Jul 16, 2024
Verified
If half the students at Quincy University have blue eyes,which of the following events is most probable?
A) In a class consisting of 15 students,80% or more have blue eyes.
B) In a class consisting of 30 students,80% or more have blue eyes.
C) In a class consisting of 45 students,80% or more have blue eyes.
D) All of these answers are equally probable.
Quincy University
A private, liberal arts university located in Quincy, Illinois, known for its educational programs and community involvement.
Blue Eyes
A specific eye color that results from a lack of melanin in the iris, leading to a blue appearance due to light scattering.
- Understand the impact of sample size and variability on the probability of detecting disparities between sample means.
Verified Answer
RF
Raekwon FilmoreJul 18, 2024
Final Answer :
A
Explanation :
Given that half the students at Quincy University have blue eyes, smaller sample sizes are more likely to deviate from the population proportion. Therefore, it's more probable for a class of 15 students to have 80% or more with blue eyes compared to larger classes of 30 or 45 students, where the proportion is more likely to reflect the overall 50% distribution.
Learning Objectives
- Understand the impact of sample size and variability on the probability of detecting disparities between sample means.