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A mileage test is conducted for a new car model, the "HERO". In previous test, the population mean is 27 miles per gallon (mpg). Twenty-eight random selected Heros are driven for a month and the mileage is carefully measured in each. The mean mileage for the sample is x=28.6mpg and the sample standard deviation is s = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions. Hypothesis are given as follows: A H₁:μ=27 H_:μ = 27

A mileage test is conducted for a new car model, the "HERO". In previous test, the population mean is 27 miles per gallon (mpg). Twenty-eight random selected Heros are driven for a month and the mileage is carefully measured in each. The mean mileage for the sample is x=28.6mpg and the sample standard deviation is s = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions. Hypothesis are given as follows: A H₁:μ=27 H_:μ = 27

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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(b) A mileage test is conducted for a new car model, the "HERO". In previous test, the population mean is 27 miles per gallon (mpg). Twenty-eight random selected Heros are driven for a month and the mileage is carefully measured in each. The mean mileage for the sample is =28.6mpg and the sample standard deviation is s = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions. Hypothesis are given as follows: (i) H₁:μ=27 H: μ = 27 Find the degree of freedom of the test. By using 10% level of significance, find the critical value and show the rejection area. (iii) Calculate the test statistic, 1, to test the Ho. (iv) Determine whether you reject Ho. State your reason and conclusion. li
Transcribed Image Text:(b) A mileage test is conducted for a new car model, the "HERO". In previous test, the population mean is 27 miles per gallon (mpg). Twenty-eight random selected Heros are driven for a month and the mileage is carefully measured in each. The mean mileage for the sample is =28.6mpg and the sample standard deviation is s = 2.2 mpg. Assuming 1-distribution is followed, answer the following questions. Hypothesis are given as follows: (i) H₁:μ=27 H: μ = 27 Find the degree of freedom of the test. By using 10% level of significance, find the critical value and show the rejection area. (iii) Calculate the test statistic, 1, to test the Ho. (iv) Determine whether you reject Ho. State your reason and conclusion. li
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