Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving. (ii) A sample of 50 fuel consumption tests with th
Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving. (ii) A sample of 50 fuel consumption tests with th
Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving. (ii) A sample of 50 fuel consumption tests with th
b. Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving.
(ii) A sample of 50 fuel consumption tests with the new model showed a sample mean of 12.10 litres per 100 km and a sample standard deviation of 0.92 litre per 100 km. What conclusion should be drawn from the sample results? Use α = 0.01.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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