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 |

265 |
147 |
226 |

134 |
238 |
214 |

407 |
343 |
186 |

528 |
698 |
309 |

149 |
548 |
354 |

625 |
473 |
551 |

167 |
323 |
397 |

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

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

c.) What is the P-value **(Round to four decimal places
as needed.)**

**Determine the P-value and state the appropriate
conclusion below.**

Since the P-value is _______ there is sufficient / insufficient evidence to accept / reject the null hypothesis. Thus, we can / cannot conclude that the means are different at the α = 0.01level of significance.

**(Round to four decimal places as needed.)**

d.) Draw box plots representing the data

Answer #1

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...

All cars can be classified into one of four groups: the
subcompact, the compact, the midsize, and the full-size. There
are five cars in each group. Head injury data (in hic) for the
dummies in the driver's seat are listed below. Use a 0.05
significance level. Find the P-value to test the null hypothesis
that the different weight categories have the same mean. Do the
sample data suggest that larger cars are safer?
head injury data for the dummies in...

All cars can be classified into one of four groups: the
subcompact, the compact, themidsize, and the full-size. There
are five cars in each group. Head injury data (in hic) for the
dummies in the driver's seat are listed below. Use a 0.05
significance level. Find the P-value to test the null hypothesis
that the different weight categories have the same mean. Do the
sample data suggest that larger cars are safer?
Subcompact:
681
428
917
898
520
Compact:
643...

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
1,270
1,040
790
1,490
2,110
880
1,380
1,800
1,980
1,810
1,280
1,210
990
1,920
Fill in the missing data. (Round your p-value...

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
1,600
1,290
1,090
760
1,400
2,100
880
1,390
1,830
1,950
1,850
1,250
1,220
950
1,920
Click here for the Excel Data File
Fill...

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
1,600
1,250
1,050
790
1,420
2,160
870
1,300
1,850
1,960
1,810
1,250
1,220
980
1,910
Click here for the Excel Data File
Fill...

Use the technology display, which results from the head injury
measurements from car crash dummies listed below. The measurements
are in hic (head injury criterion) units, and they are from the
same cars used for the table below. Use a 0.10 significance level
to test the given claim.
Test the null hypothesis that head injury measurements are not
affected by an interaction between the type of car (foreign,
domestic) and size of the car (small, medium, large). What do
you...

Use the technology display, which results from the head injury
measurements from car crash dummies listed below. The measurements
are in hic (head injury criterion) units, and they are from the
same cars used for the table below. Use a 0.10 significance level
to test the given claim. Test the null hypothesis that head injury
measurements are not affected by an interaction between the type of
car (foreign, domestic) and size of the car (small, medium,
large). What do you...

Use the technology display, which results from the head injury
measurements from car crash dummies listed below. The measurements
are in hic (head injury criterion) units, and they are from the
same cars used for the table below. Use a 0.10 significance level
to test the given claim.
Test the null hypothesis that head injury measurements are not
affected by an interaction between the type of car (foreign,
domestic) and size of the car (small, medium, large). What do
you...

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