Suppose you are a quality assurance manager for Honda. A new model of family car has been built, and the engineers are interested in testing the new model to ensure it meets Canadian safety standards. The safety standards indicate that the vehicle must be able to stop within 17.38 metres from a speed of 48.3 km/h [1]. Note this means the quality assurance team wants to ensure the cars stop in less than 17.38 metres on average). They obtain a random sample of 21 new model cars, and test the brakes on each car. The sample mean stopping distance from this sample of 21 cars is 17 metres. Suppose the population standard deviation is 1.25 metres. Conduct an appropriate hypothesis test using the critical value method. Based on your answer to part a.,do you believe the company can sell the new model car in Canada? Why or why not?

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 + ...