Answered: A small dealership leased 21 Suburu…

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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A small dealership leased 21 Suburu Outbacks on 2-year leases. When the cars were returned at the end of the lease, the mileage was recorded (see below).


40,010	24,996	14,340	17,359	44,712	44,525	20,239
33,348	24,299	41,782	58,313	35,886	25,765	28,937
25,069	43,302	23,958	43,526	53,617	31,803	36,704

(a) Is the dealer's mean significantly greater than the national average of 29,393 miles for 2-year leases? Using the 10 percent level of significance, choose the appropriate hypothesis.

H₀: μ ≤ 29,393 miles vs. H₁: μ > 29,393 miles, reject H₀ if t_calc > 1.3250
H₀: μ ≥ 29,393 miles vs. H₁: μ > 29,393 miles, reject H₀ if t_calc > 1.3250
H₀: μ ≤ 29,393 miles vs. H₁: μ < 29,393 miles, reject H₀ if t_calc > 1.3250
H₁: μ ≤ 29,393 miles vs. H₀: μ > 29,393 miles, reject H₀ if t_calc > 1.3250

b) Calculate the test statistic. (Round your answer to 2 decimal places.)

Test statistic

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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