Hertz Rent-a-Car must measure the mean gas mileage achieved by its rental cars. The data below is generated for the entire fleet of 24 cars. The 5 boxed numbers constitute a randomly drawn sample. 21 40 35 34 34 25 38 30 26 34 28 33 37 29 32 81 29 35 28 35 41 34 35 32 Compute the population mean (round the means to the nearest hundredth if necessary)Compute the sample mean (round the means to the nearest hundredth if necessary)What principle accounts for the difference? __________________________

Name: Hertz Rent-a-Car must measure the mean gas mileage achieved by its ren
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Hertz Rent-a-Car must measure the mean gas mileage achieved by its rental cars. The data below is generated for the entire fleet of 24 cars. The 5 boxed numbers constitute a randomly drawn sample. 21 40 35 34 34 25 38 30 26 3

Population mean = (summation Xi)/N here total observations or population size, N= 24. Population mean = (21+40+35+34+34+25+38+30+26+34+28+33+37+29+32+81+29+35+28+35+41+34+35+32)/24 = 34.4167Sample size is n=5 Sample mean = (summation Xi)/n Let we randomly select sample of size 5, 40,25,30,35,35 Sample mean = (40+25+30+35+35)/5 = 33

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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Hertz Rent-a-Car must measure the mean gas mileage achieved by its rental cars. The data below is generated for the entire fleet of 24 cars. The 5 boxed numbers constitute a randomly drawn sample.

21 40 35 34 34 25 38 30 26 34 28 33 37 29 32 81 29 35 28 35 41 34 35 32

Compute the population mean (round the means to the nearest hundredth if necessary)
Compute the sample mean (round the means to the nearest hundredth if necessary)
What principle accounts for the difference? __________________________

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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