Answered: There are two car dealers in town. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

5) There are two car dealers in town. The mean monthly sales at Smith Auto and Jones Cars are about the same. However, Kevin Smith, owner of Smith Auto, believes his sales are more consistent.

a) State the Hypothesis to show the variation in the monthly sales is lower at Smith Auto than Jones Cars s.

b) To test the hypothesis, you collect monthly sales data for the two companies. The data appears below. Use JMP to test the hypothesis of part a).

c) Using alpha= 0.05, draw a conclusion for the hypothesis test and state the conclusion in the context of the problem.

Dealership	Sales
Smith Auto	98
Smith Auto	78
Smith Auto	54
Smith Auto	57
Smith Auto	68
Smith Auto	64
Smith Auto	70
Jones Cars	75
Jones Cars	81
Jones Cars	81
Jones Cars	30
Jones Cars	82
Jones Cars	46
Jones Cars	58
Jones Cars	101

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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