A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line isy = 0.185 +0.007x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.185 +0.007x and standard deviation 0.005.USE SALT(a) What is the mean eggshell thickness for quail eggs that are 15 mm in length?μmWhat is the mean eggshell thickness for quail eggs that are 17 mm in length?um(b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.29 um?(c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.282? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.)Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.286? (Round your answer to four decimal places.)

Given:- y = 0.185 +0.007x and that sigma= 0.005.

Answered: he mean eggshell thickness for quail…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.145 +0.003x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 +0.003x and standard deviation 0.005. (You may need to use a table.) e USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 μm What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X o Approximately what proportion of…
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