Answered: The following data shows the gas…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

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The following data shows the gas mileage (miles per gallon) of a car sample of a particular brand of car.
20.2 21.3 25.0 22.5 23.9 22.8 22.5 24.2 24.6 23.9 24.5 23.6 24.3

27.4 22.2 22.07 20.3 24.2 21.6 23.2 20.1 19.6 25.4 25.2 24.6 24.5

a) Construct 99% confidence interval for the population mean, and interpret the confidence interval.

b) The car manufacturer claims that the average gas mileage of this brand of car is 24 miles per gallon.

Does the data support the above claim?

Conduct a test using the level of significance 0.02.

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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