4. For the two circumstances below, explain which type of probability (empirical, subjective, theoretical) is being used to make the prediction. If more than one type of probability is involved, explain which elements of the process use which of the methods. a. A scientist studying ants builds an ant farm and maps the routes they travel throughout the course of a week through careful observation. Later the scientist uses these observations to generate an interactive map of a natural environment that lists the probability of finding ants in any given location at a particular time. b. A social scientist studying grocery store accessibility in a city recruits a small sample of study volunteers and interviews them about how far they travel for groceries. The researcher finds in the study that people from higher-income neighborhoods travel significantly less than people from low-income neighborhoods. Using a statistical model, the researcher predicts that their sample has a 95% chance of being a good reflection of the population, meaning that the results of her study are reliable.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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4. For the two circumstances below, explain which type of probability (empirical,
subjective, theoretical) is being used to make the prediction. If more than one
type of probability is involved, explain which elements of the process use which
of the methods.
a. A scientist studying ants builds an ant farm and maps the routes they
travel throughout the course of a week through careful observation. Later
the scientist uses these observations to generate an interactive map of a
natural environment that lists the probability of finding ants in any given
location at a particular time.
b. A social scientist studying grocery store accessibility in a city recruits a
small sample of study volunteers and interviews them about how far they
travel for groceries. The researcher finds in the study that people from
higher-income neighborhoods travel significantly less than people from
low-income neighborhoods. Using a statistical model, the researcher
predicts that their sample has a 95% chance of being a good reflection of
the population, meaning that the results of her study are reliable.
Transcribed Image Text:4. For the two circumstances below, explain which type of probability (empirical, subjective, theoretical) is being used to make the prediction. If more than one type of probability is involved, explain which elements of the process use which of the methods. a. A scientist studying ants builds an ant farm and maps the routes they travel throughout the course of a week through careful observation. Later the scientist uses these observations to generate an interactive map of a natural environment that lists the probability of finding ants in any given location at a particular time. b. A social scientist studying grocery store accessibility in a city recruits a small sample of study volunteers and interviews them about how far they travel for groceries. The researcher finds in the study that people from higher-income neighborhoods travel significantly less than people from low-income neighborhoods. Using a statistical model, the researcher predicts that their sample has a 95% chance of being a good reflection of the population, meaning that the results of her study are reliable.
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