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A car manufacturer wishes to assess the mileage of one of their car models. The research team randomly selects 40 new cars of this model and records the mileage of each (in L/100 km) when driving on a highway. The data are available in the file mileage.txt. You may assume that the mileages are independent, each with distribution N (H, o^2). a) Create a histogram of the mileages (appropriately labelled). Does the normality assumption seem justified, at least approximately? b) Compute a 90% confidence interval for mean mileage. c) Provide a formal interpretation of your confidence interval in a). d) The manufacturer has a target mean mileage of 6.1 L/100 km. Based on your confidence interval in a), is the manufacturing process off target? Explain.

A car manufacturer wishes to assess the mileage of one of their car models. The research team randomly selects 40 new cars of this model and records the mileage of each (in L/100 km) when driving on a highway. The data are available in the file mileage.txt. You may assume that the mileages are independent, each with distribution N (H, o^2). a) Create a histogram of the mileages (appropriately labelled). Does the normality assumption seem justified, at least approximately? b) Compute a 90% confidence interval for mean mileage. c) Provide a formal interpretation of your confidence interval in a). d) The manufacturer has a target mean mileage of 6.1 L/100 km. Based on your confidence interval in a), is the manufacturing process off target? Explain.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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"mileage" 6.2 5.9 5.9 6 6.5 6.2 6.3 6.5 6.2 5.9 5.8 5.8 6 6.2 6.2 6 5.9 6.2 6.3 6.1 5.8 6.3 6 6 6.1 5.9 6 6.1 6.2 5.9 5.8 6 5.8 5.5 5.8 5.8 6.3 6.2 6.2 5.8
Transcribed Image Text:"mileage" 6.2 5.9 5.9 6 6.5 6.2 6.3 6.5 6.2 5.9 5.8 5.8 6 6.2 6.2 6 5.9 6.2 6.3 6.1 5.8 6.3 6 6 6.1 5.9 6 6.1 6.2 5.9 5.8 6 5.8 5.5 5.8 5.8 6.3 6.2 6.2 5.8
A car manufacturer wishes to assess the mileage of one of their car models. The research team randomly selects 40 new cars of this model and records the mileage of each (in L/100 km) when driving on a highway. The data are available in the file mileage.txt. You may assume that the mileages are independent, each with distribution N (H, o^2). a) Create a histogram of the mileages (appropriately labelled). Does the normality assumption seem justified, at least approximately? b) Compute a 90% confidence interval for mean mileage. c) Provide a formal interpretation of your confidence interval in a). d) The manufacturer has a target mean mileage of 6.1 L/100 km. Based on your confidence interval in a), is the manufacturing process off target? Explain. |
Transcribed Image Text:A car manufacturer wishes to assess the mileage of one of their car models. The research team randomly selects 40 new cars of this model and records the mileage of each (in L/100 km) when driving on a highway. The data are available in the file mileage.txt. You may assume that the mileages are independent, each with distribution N (H, o^2). a) Create a histogram of the mileages (appropriately labelled). Does the normality assumption seem justified, at least approximately? b) Compute a 90% confidence interval for mean mileage. c) Provide a formal interpretation of your confidence interval in a). d) The manufacturer has a target mean mileage of 6.1 L/100 km. Based on your confidence interval in a), is the manufacturing process off target? Explain. |
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