(c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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PLEASE help will C) and D). WILL THUMBS UP IF CORRECT.

Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.40 -0.01x and a = 0.07.
USE SALT
(a) What is the expected change in reaction time for a 1°F increase in temperature? For an 11°F increase in temperature?
1°F increase
-.01
✔✔hr
11°F increase -0.11
✓ hr
(b) What is the expected reaction time when temperature is 180°F? When temperature is 260°F?
180°F 3.60
260°F 2.80
✔hr
✔✔hri
(c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.)
(d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
Transcribed Image Text:Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.40 -0.01x and a = 0.07. USE SALT (a) What is the expected change in reaction time for a 1°F increase in temperature? For an 11°F increase in temperature? 1°F increase -.01 ✔✔hr 11°F increase -0.11 ✓ hr (b) What is the expected reaction time when temperature is 180°F? When temperature is 260°F? 180°F 3.60 260°F 2.80 ✔hr ✔✔hri (c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.66 and 2.94 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)
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