Use technology to solve the following problem: The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 8.7 pounds and standard deviation 2.0 pound(s). Find the 84th Percentile of the weights.
A) 10.68 lb
B) 12.82 lb
C) 8.54 lb
D) 11.75 lb

Question

Quizplus · Accepted Answer

To find the 84th percentile of a normally distributed set of data, you can use the Z-score formula for percentiles, which is Z = (X - μ) / σ, where Z is the Z-score corresponding to the percentile, X is the value at that percentile, μ is the mean, and σ is the standard deviation. The Z-score for the 84th percentile is approximately 1.0 because the 84th percentile falls 1 standard deviation above the mean in a normal distribution. Using the given mean (μ = 8.7) and standard deviation (σ = 2.0), we solve for X: X = Zσ + μ = 1.0(2.0) + 8.7 = 10.7. Therefore, the closest value to 10.7 is 10.68 lb, which is option A.

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