In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage ($)GoliathVarmintWeasel1,6601,2901,0007701,4402,1208801,3201,8501,9601,8201,2101,2409601,960 Calculate the value of Hcalc. (Round your answer to 2 decimal places.) Crash Damage in Dollars GoliathVarmintWeasel 166012901000 77014402120 88013201850 196018201210 12409601960

We need to test whether the mean crash damages of the three vehicles are same or not. So, the…

Answered: In a bumper test, three types of autos…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?

Goliath	Varmint	Weasel
Crash Damage ($)
1,660	1,290	1,000
770	1,440	2,120
880	1,320	1,850
1,960	1,820	1,210
1,240	960	1,960

Calculate the value of H_calc. (Round your answer to 2 decimal places.)

Crash Damage in Dollars

Goliath	Varmint	Weasel
1660	1290	1000
770	1440	2120
880	1320	1850
1960	1820	1210
1240	960	1960

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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