Solution Found!
Answer: Let X be the temperature in °C at which a certain
Chapter 4, Problem 25E(choose chapter or problem)
Problem 25E
Let X be the temperature in °C at which a certain chemical reaction takes place, and let Y be the temperature in °F(so Y = 1.8X + 32)
a. If the median of the X distribution is X + 32)is the median of the Y distribution.
b. How is the 90th percentile of the Y distribution related to the 90th percentile of the X distribution? Verify your conjecture.
c. More generally, if Y = aX +b , how is any particular percentile of the Y distribution related to the corresponding percentile of the X distribution?
Questions & Answers
QUESTION:
Problem 25E
Let X be the temperature in °C at which a certain chemical reaction takes place, and let Y be the temperature in °F(so Y = 1.8X + 32)
a. If the median of the X distribution is X + 32)is the median of the Y distribution.
b. How is the 90th percentile of the Y distribution related to the 90th percentile of the X distribution? Verify your conjecture.
c. More generally, if Y = aX +b , how is any particular percentile of the Y distribution related to the corresponding percentile of the X distribution?
ANSWER:
Problem 25E
Answer:
Step1:
We have X be temperature in 0C at which certain chemical reaction takes place, and let Y be the temperature in 0F(so Y = 1.8X + 32).
We need to find,
a. If the median of the X distribution is X + 32)is the median of the Y distribution.
b. How is the 90th percentile of the Y distribution related to the 90th percentile of the X distribution? Verify your conjecture.
c. More generally, if Y = aX +b , how is any particular percentile of the Y distribution related to the corresponding percentile of the X distribution?
Step2:
a).
Consider,