A certain breed of pigs has weights that are normally distributed with a mean of 280 pounds and a standard deviation of 20 pounds. 11. What weight (to the nearest pound) represents the 67th percentile in this group of pigs? [Hint: Find the z-score corresponding to a probability of 0.6700 and substitute it into the z-score formula Then algebraically solve for x which will be the desired weight at the 67dh percentile.]
A certain breed of pigs has weights that are normally distributed with a mean of 280 pounds and a standard deviation of 20 pounds. 11. What weight (to the nearest pound) represents the 67th percentile in this group of pigs? [Hint: Find the z-score corresponding to a probability of 0.6700 and substitute it into the z-score formula Then algebraically solve for x which will be the desired weight at the 67dh percentile.]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A certain breed of pigs has weights that are normally distributed with a mean of 280 pounds and a
standard deviation of 20 pounds.
11. What weight (to the nearest pound) represents the 67th percentile in this group of pigs? [Hint:
Find the z-score corresponding to a probability of 0.6700 and substitute it into the z-score formula.
Then algebraically solve for x which will be the desired weight at the 67th percentile.]
12. (10 pts) If a group of 4 pigs is selected at random, find the probabilitythat the mean weight of
the group will be 275 pounds or less. [Hint: Compared to Problem # 9 dealing with only one pig, it is
intuitively harder to select a group of 4 pigs that have a mean weight of 275 pounds or less. This
calls for a revised standard deviation for the group that will result in a higher z-score and a lower
probability for this situation.]
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba6262a5-d997-4fde-9cea-b71e30254a96%2F5b1c51e6-e5e7-4d4c-9db9-8e5872d7e2e4%2Fgjafgd9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A certain breed of pigs has weights that are normally distributed with a mean of 280 pounds and a
standard deviation of 20 pounds.
11. What weight (to the nearest pound) represents the 67th percentile in this group of pigs? [Hint:
Find the z-score corresponding to a probability of 0.6700 and substitute it into the z-score formula.
Then algebraically solve for x which will be the desired weight at the 67th percentile.]
12. (10 pts) If a group of 4 pigs is selected at random, find the probabilitythat the mean weight of
the group will be 275 pounds or less. [Hint: Compared to Problem # 9 dealing with only one pig, it is
intuitively harder to select a group of 4 pigs that have a mean weight of 275 pounds or less. This
calls for a revised standard deviation for the group that will result in a higher z-score and a lower
probability for this situation.]
I
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