A car manufacturer states that the fuel consumption of their new model is 5.4 litres per 100km. A sample of 36 cars was tested and the average fuel consumption of the cars was found to be 7.0 litres per 100km. The standard deviation of the sample was 2.1 litres per 100km. It is desired to determine whether there is sufficient evidence at a 5% significance level to conclude that the fuel consumption is different from 5.4 litres per 100km. The hypotheses are given as: Ho : μ = 5.4 H₁: 5.4 You are required to determine the test statistic and critical value for this test.

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How to determine the test statistic and critical value for the test?

A car manufacturer states that the fuel consumption of their new model is 5.4 litres per 100km. A sample of 36
cars was tested and the average fuel consumption of the cars was found to be 7.0 litres per 100km. The standard
deviation of the sample was 2.1 litres per 100km. It is desired to determine whether there is sufficient evidence at a
5% significance level to conclude that the fuel consumption is different from 5.4 litres per 100km.
The hypotheses are given as:
Ho : | = 5.4
H₁: 5.4
You are required to determine the test statistic and critical value for this test.
Transcribed Image Text:A car manufacturer states that the fuel consumption of their new model is 5.4 litres per 100km. A sample of 36 cars was tested and the average fuel consumption of the cars was found to be 7.0 litres per 100km. The standard deviation of the sample was 2.1 litres per 100km. It is desired to determine whether there is sufficient evidence at a 5% significance level to conclude that the fuel consumption is different from 5.4 litres per 100km. The hypotheses are given as: Ho : | = 5.4 H₁: 5.4 You are required to determine the test statistic and critical value for this test.
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