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Question 4 Around 37 degrees Centigrade is normal body temperature for children and adults. Fever is when your core body temperature is higher than 38 degrees centigrade. A certain medicine that aims to reduce body temperature has been applied to 80 patients that had a fever. The temperatures after the medicine was administrated are the following: y <- scan( text = " 37.3 37.5 37.2 38.0 37.6 37.2 37.6 37.7 37.7 37.4 37.9 37.6 37.3 36.8 37.8 37.5 37.5 37.8 37.7 37.7 37.8 37.7 37.5 36.9 37.7 37.5 37.4 37.0 37.3 37.6 37.9 37.5 37.6 37.5 37.1 37.4 37.4 37.5 37.8 37.7 37.4 37.4 37.7 37.7 37.3 37.3 37.6 37.7 37.5 37.8 37.6 37.3 37.6 37.2 37.9 38.1 37.4 37.2 37.7 37.4 38.2 37.5 37.7 37.5 37.3 37.5 36.9 37.9 37.5 38.1 37.6 37.3 37.7 37.2 37.1 37.6 37.4 37.5 37.5 37.3") We consider that the medicine is effective if the temperature is lower or equal to 38. Perform a Bayesian analysis assuming a skeptical position: we seek the probability that the medicine is effective. • Define the random variable and its distribution. Define the prior and justify your choice. • Define the posterior distribution. • Plot the prior and posterior in a graph. Comment on it. • Calculate a 95% credible interval and interpret it.

Question 4 Around 37 degrees Centigrade is normal body temperature for children and adults. Fever is when your core body temperature is higher than 38 degrees centigrade. A certain medicine that aims to reduce body temperature has been applied to 80 patients that had a fever. The temperatures after the medicine was administrated are the following: y <- scan( text = " 37.3 37.5 37.2 38.0 37.6 37.2 37.6 37.7 37.7 37.4 37.9 37.6 37.3 36.8 37.8 37.5 37.5 37.8 37.7 37.7 37.8 37.7 37.5 36.9 37.7 37.5 37.4 37.0 37.3 37.6 37.9 37.5 37.6 37.5 37.1 37.4 37.4 37.5 37.8 37.7 37.4 37.4 37.7 37.7 37.3 37.3 37.6 37.7 37.5 37.8 37.6 37.3 37.6 37.2 37.9 38.1 37.4 37.2 37.7 37.4 38.2 37.5 37.7 37.5 37.3 37.5 36.9 37.9 37.5 38.1 37.6 37.3 37.7 37.2 37.1 37.6 37.4 37.5 37.5 37.3") We consider that the medicine is effective if the temperature is lower or equal to 38. Perform a Bayesian analysis assuming a skeptical position: we seek the probability that the medicine is effective. • Define the random variable and its distribution. Define the prior and justify your choice. • Define the posterior distribution. • Plot the prior and posterior in a graph. Comment on it. • Calculate a 95% credible interval and interpret it.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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Question 4 Around 37 degrees Centigrade is normal body temperature for children and adults. Fever is when your core body temperature is higher than 38 degrees centigrade. A certain medicine that aims to reduce body temperature has been applied to 80 patients that had a fever. The temperatures after the medicine was administrated are the following: y <- scan( text = " 37.3 37.5 37.2 38.0 37.6 37.2 37.6 37.7 37.7 37.4 37.9 37.6 37.3 36.8 37.8 37.5 37.5 37.8 37.7 37.7 37.8 37.7 37.5 36.9 37.7 37.5 37.4 37.0 37.3 37.6 37.9 37.5 37.6 37.5 37.1 37.4 37.4 37.5 37.8 37.7 37.4 37.4 37.7 37.7 37.3 37.3 37.6 37.7 37.5 37.8 37.6 37.3 37.6 37.2 37.9 38.1 37.4 37.2 37.7 37.4 38.2 37.5 37.7 37.5 37.3 37.5 36.9 37.9 37.5 38.1 37.6 37.3 37.7 37.2 37.1 37.6 37.4 37.5 37.5 37.3") We consider that the medicine is effective if the temperature is lower or equal to 38. Perform a Bayesian analysis assuming a skeptical position: we seek the probability that the medicine is effective. • Define the random variable and its distribution. • Define the prior and justify your choice. • Define the posterior distribution. • Plot the prior and posterior in a graph. Comment on it. Calculate a 95% credible interval and interpret it.
Transcribed Image Text:Question 4 Around 37 degrees Centigrade is normal body temperature for children and adults. Fever is when your core body temperature is higher than 38 degrees centigrade. A certain medicine that aims to reduce body temperature has been applied to 80 patients that had a fever. The temperatures after the medicine was administrated are the following: y <- scan( text = " 37.3 37.5 37.2 38.0 37.6 37.2 37.6 37.7 37.7 37.4 37.9 37.6 37.3 36.8 37.8 37.5 37.5 37.8 37.7 37.7 37.8 37.7 37.5 36.9 37.7 37.5 37.4 37.0 37.3 37.6 37.9 37.5 37.6 37.5 37.1 37.4 37.4 37.5 37.8 37.7 37.4 37.4 37.7 37.7 37.3 37.3 37.6 37.7 37.5 37.8 37.6 37.3 37.6 37.2 37.9 38.1 37.4 37.2 37.7 37.4 38.2 37.5 37.7 37.5 37.3 37.5 36.9 37.9 37.5 38.1 37.6 37.3 37.7 37.2 37.1 37.6 37.4 37.5 37.5 37.3") We consider that the medicine is effective if the temperature is lower or equal to 38. Perform a Bayesian analysis assuming a skeptical position: we seek the probability that the medicine is effective. • Define the random variable and its distribution. • Define the prior and justify your choice. • Define the posterior distribution. • Plot the prior and posterior in a graph. Comment on it. Calculate a 95% credible interval and interpret it.
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