Question

A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study.

Large_Family_Cars Passenger_Vans
Midsize_Utility_Vehicles

267 148 224

134 238 218

409 338 184

527 691 306

150 555 354

622 471 552

167 323 394

**(a)** State the null and alternative
hypotheses.

**A.**

**H0: μCars=μVans=μSUVs and H1: at least one mean is
different**

**Your answer is correct.**

**(b)** Normal probability plots indicate that the
sample data come from normal populations. Are the requirements to
use the one-way ANOVA procedure satisfied?

**A.**

**Yes, all the requirements for use of a one-way ANOVA
procedure are satisfied.**

**Your answer is correct.**

B.

No, because the samples are not independent.

C.

No, because the populations are not normally distributed.

D.

No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.

**(c)** Test the hypothesis that the mean head
injury for each vehicle type is the same at the α=0.01 level of
significance.

Use technology to find the F-test statistic for this data set.

F0equals=__?__

(Round to three decimal places as needed.)

Answer #1

The statistical software output for this problem is:

Hence,

F = **0.413**

A highway safety institution conducts experiments in which cars
are crashed into a fixed barrier at 40 mph. In the institute's
40-mph offset test, 40% of the total width of each vehicle strikes
a barrier on the driver's side. The barrier's deformable face is
made of aluminum honeycomb, which makes the forces in the test
similar to those involved in a frontal offset crash between two
vehicles of the same weight, each going just less than 40 mph. You
are...

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Goliath
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1,270
1,040
790
1,490
2,110
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In a bumper test, three types of autos were deliberately crashed
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estimated. Five test vehicles of each type were crashed, with the
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Weasel
1,600
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1,420
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1,300
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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?
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Goliath
Varmint
Weasel
1,600
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1,090
760
1,400
2,100
880
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1,250
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A stock analyst wondered whether the mean rate of return of
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Financial Energy Utilities
10.73 12.89 11.98
15.12 13.96 5.86
17.21 6.33 13.46
5.07 11.23 9.82
19.50 18.93 3.95
8.16 20.73 3.44
10.38 9.60 7.11
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For each scenario below, do the following:
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(1) A Chi-squared test is typically used to test for any of the
following except which of the following?
(A) If a mathematical model accurately predicts our observed
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(B) If a mathematical model accurately predicts the total number
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(C) If a mathematical model accurately predicts the pattern of
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1. The measure of location which is the most likely to
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In February 2012, the Pepsi Next product was launched into
the US market. This case study provides students with an
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the challenging decisions that they faced along the way.
Pepsi Next Case Study
Introduction
Pepsi Next was launched by PepsiCo into the US market in
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