A certain breed of pigs has weights that are normally distributed with a mean of 280 pounds and astandard 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 ofthe group will be 275 pounds or less. [Hint: Compared to Problem # 9 dealing with only one pig, it isintuitively harder to select a group of 4 pigs that have a mean weight of 275 pounds or less. Thiscalls for a revised standard deviation for the group that will result in a higher z-score and a lowerprobability for this situation.]I

Note: As per the guidelines, solving first question, please repost the remaining questions…

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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Question

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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