The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 9.1 pounds and standard deviation 2.4 pounds. Find the first quartile of the weight.
A)8.24 lb
B)8.99 lb
C)6.74 lb
D)7.49 lb

Question

Quizplus · Accepted Answer

The first quartile (Q1) corresponds to the 25th percentile of a normal distribution. Using the Z-score table, the Z-score for the 25th percentile is approximately -0.675. Using the formula: Q1 = mean + (Z * standard deviation), we get Q1 = 9.1 + (-0.675 * 2.4) = 7.49 pounds.

The Weights of 6-Week-Old Poults (Juvenile Turkeys) Are Normally Distributed