Question

For a selective breeding program, researchers want to place a captive population of Bolitotherus cornutus beetles into groups based on average percentile of horn lengths.

They measured the horn length of every male beetle within their population. They found an average population length of 2.3mm with a population standard deviation of 0.90mm, with a normal distribution across the population.

They decide to create 5 groups. First, they form a large group representing the top 5%. Then they want a group of the next 25%, followed by a group of the next 30%, followed by a group of the next 25%, then the final 15%.

Determine the horn lengths for each of these 5 breeding groups

Answer 1

isf . 05 A-2-3) = 0.95 A -2.3 B-2.3 )二0.7 K2.9 «-2.3 - -02 D-2.3 _1.04 =-0.94ラD

So, Horn len "Top s . nr m 3) Near 3 4, 나나-25%