Use technology to solve the following problem: The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 9.1 pounds and standard deviation 2.4 pounds. A turkey farmer
Wants to provide a money-back guarantee that her 6-week poults will weigh at least a certain Amount. What weight should she guarantee so that she will have to give her customer's money back Only 1% of the time?
A) 3.51 lb
B) 2.81 lb
C) 3.86 lb
D) 3.16 lb

Question

Quizplus · Accepted Answer

To find the weight that corresponds to the top 99% of the distribution, we need to find the 1st percentile of a normal distribution with a mean of 9.1 and a standard deviation of 2.4. Using a z-table or calculator, the z-score for the 1st percentile is approximately -2.33. Using the formula: weight = mean + (z-score * standard deviation), we get 9.1 + (-2.33 * 2.4) ≈ 3.51 lb.

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