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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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