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 ($)GoliathVarmintWeasel1,6601,2501,0707601,4402,1408601,3301,8001,9401,8701,2201,2109901,960 Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.) GroupMeannStd. DevVarianceGoliath Varmint Weasel Total One-Factor ANOVASourceSSdfMSFp-valueTreatment Error Total Based on the given hypotheses, choose the right option. H0: μ1 = μ2 = μ3H1: Not all the means are equal α = .05 Reject the null hypothesis if p-value > 0.05Reject the null hypothesis if p-value < 0.05 On the basis of the above findings, we cannot reject the null hypothesis. FalseTrue Based on the given hypotheses, choose the right option. H0: σ21 = σ22 = σ23 H1: Not all the variances are equal α = .0 Reject the null hypothesis if H < 15.5Reject the null hypothesis if H > 15.5 Calculate the value of Hcalc. (Round your answer to 2 decimal places.) Hcalc On the basis of the above-determined Hcalc, we reject the null hypothesis. TrueFalse

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Description: 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

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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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?

Crash Damage ($)
Goliath	Varmint	Weasel
1,660	1,250	1,070
760	1,440	2,140
860	1,330	1,800
1,940	1,870	1,220
1,210	990	1,960

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)

Group	Mean	n	Std. Dev	Variance
Goliath
Varmint
Weasel
Total

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment
Error
Total

Based on the given hypotheses, choose the right option.

H₀: μ₁ = μ₂ = μ₃
H₁: Not all the means are equal

α = .05

Reject the null hypothesis if p-value > 0.05
Reject the null hypothesis if p-value < 0.05

On the basis of the above findings, we cannot reject the null hypothesis.

False
True

Based on the given hypotheses, choose the right option. H0: σ21 = σ22 = σ23 H1: Not all the variances are equal α = .0

Reject the null hypothesis if H < 15.5
Reject the null hypothesis if H > 15.5

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

H_calc

On the basis of the above-determined H_calc, we reject the null hypothesis.

True
False

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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