A taxi company is trying to determine whether the use of radial tires and belted tires provide the same fuel consumption. Twelve cars were driven twice over a prescribed test course; and for each test a car used a different type of tire (radial or belted) in random order. The data were: Type of tire RADIAL with(Mean = 5.75 Standard deviation = 1.10) and BELTED with(Mean = 5.61 Standard deviation = 1.30). a)what statistic is most applicable? b)the null hypothesis is? c)the degree of freedom is? d)the critical value is? e)the computed statistic value is? f) the final decision is?

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 + ...