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
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman