Use technology to solve the following problem: The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 8.8 pounds and standard deviation 1.8 pounds. Find the first Quartile of the weight.
A) 6.07 lb
B) 6.83 lb
C) 9.11 lb
D) 7.59 lb

Question

Quizplus · Accepted Answer

The first quartile (Q1) of a normal distribution can be found by using the Z-score table or a calculator with the inverse normal function. The first quartile corresponds to the 25th percentile. Using the formula $Q1 = \mu + Z(\frac{1}{4}) \times \sigma$, where $\mu = 8.8$ (mean) and $\sigma = 1.8$ (standard deviation), and knowing that the Z-score for the 25th percentile is approximately -0.674 (from Z-tables or calculator), we calculate $Q1 = 8.8 + (-0.674 \times 1.8) = 8.8 - 1.2132 = 7.59$ pounds.

Use Technology to Solve the Following Problem: the Weights of 6-Week-Old