The length of students' college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. What is the lower quartile for the length of students' careers at Anytown University?
A) 4.83 years
B) 3.75 years
C) 4.33 years
D) 2.75 years

Question

Quizplus · Accepted Answer

To find the lower quartile, we need to find the 25th percentile of the normal distribution. Using a standard normal table or calculator, we can find that the z-score corresponding to the 25th percentile is approximately -0.675. 
We can then use the formula z = (x - μ) / σ and solve for x (the career length) to get x = μ + zσ = 5.5 + (-0.675)(1.75) = 4.33. Therefore, the lower quartile for the length of students' careers at Anytown University is 4.33 years.

The Length of Students' College Careers at Anytown University Is