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An auto engineer had conducted an experiment for comparing two types of new hybrid car engines, namely H and T. The comparison was based on the petrol consumption, measured in km per liter. In the experiment, each type of hybrid engines had undergone a number of tests; 60 for type H and 50 for type T. In each test, where the amount of petrol used and other conditions were held constant, the petrol consumption was measured. The mean per liter for type H was 25, and type T was 38. The population standard deviations are known, OH = 9, and ór= 6. Construct a 95% confidence interval for μT - μH where μT and Hare the population means in km per liter for types T and H respectively.

An auto engineer had conducted an experiment for comparing two types of new hybrid car engines, namely H and T. The comparison was based on the petrol consumption, measured in km per liter. In the experiment, each type of hybrid engines had undergone a number of tests; 60 for type H and 50 for type T. In each test, where the amount of petrol used and other conditions were held constant, the petrol consumption was measured. The mean per liter for type H was 25, and type T was 38. The population standard deviations are known, OH = 9, and ór= 6. Construct a 95% confidence interval for μT - μH where μT and Hare the population means in km per liter for types T and H respectively.

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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3. An auto engineer had conducted an experiment for comparing two types of new hybrid car engines, namely H and T. The comparison was based on the petrol consumption, measured in km per liter. In the experiment, each type of hybrid engines had undergone a number of tests; 60 for type H and 50 for type T. In each test, where the amount of petrol used and other conditions were held constant, the petrol consumption was measured. The mean per liter for type H was 25, and type T was 38. The population standard deviations are known, OH = 9, and ór= 6. Construct a 95% confidence interval for μT - μH where μT and μ are the population means in km per liter for types T and H respectively. 4. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid. Interpret this interval.
Transcribed Image Text:3. An auto engineer had conducted an experiment for comparing two types of new hybrid car engines, namely H and T. The comparison was based on the petrol consumption, measured in km per liter. In the experiment, each type of hybrid engines had undergone a number of tests; 60 for type H and 50 for type T. In each test, where the amount of petrol used and other conditions were held constant, the petrol consumption was measured. The mean per liter for type H was 25, and type T was 38. The population standard deviations are known, OH = 9, and ór= 6. Construct a 95% confidence interval for μT - μH where μT and μ are the population means in km per liter for types T and H respectively. 4. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid. Interpret this interval.
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