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Name: A company with a large fleet of cars hopes to keep gasoline costs down
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining an average gas mileage of at least 29 mpg. To see if the goal is being met, they check the gasoline usage for 100 company trips chosen at random, find

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 company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining an average gas mileage of at least 29 mpg. To see if the goal is being met, they check the gasoline usage for 100 company trips chosen at random, finding a mean of 27.577 mpg and a standard deviation of 6.379 mpg. Does the sample provide convincing evidence the mean gas mileage is less than the goal set? Use a significance level of 0.10 to test the appropriate claim.

HoHo:Select an answer p̂ μ p ȳ ? ≠ > = < HaHa: Select an answer ȳ μ p̂ p ? > ≠ < =
αα =
Test Statistic: t = (Note: round the t-score to two decimal places)
probability = Select an answer 0.986 0.014 0.028
decision: Select an answer Fail to reject H₀ Reject H₀
At the 0.10 level, there Select an answer is is not significant evidence to conclude the mean gas mileage for this fleet of cars is Select an answer greater than different than less than mpg.

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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