Help finding: Test the null hypothesis that the mean head injury for each vehicle type is the same at the α=0.01 level of significance. What is the F0 What is the P Value Draw a box plot
Help finding: Test the null hypothesis that the mean head injury for each vehicle type is the same at the α=0.01 level of significance. What is the F0 What is the P Value Draw a box plot
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Help finding:
- Test the null hypothesis that the mean head injury for each vehicle type is the same at the
α=0.01level of significance.
-
- What is the F0
- What is the P Value
-
- Draw a box plot
![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. Complete parts (a) through (d) below.
Click the icon to view the data table.
Head injuries
.....
(a) State the null and alternative hypotheses.
A. Ho: HCars = HVans = HsUVs and H,: at least one mean is different
Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVS)
B. Ho: HCars = HVans = HsUVs and H,: all means are different
261
148
224
134
240
215
O C. Ho: HCars = Hvans = Hsuvs and H,: HCars < HVans <Hsuvs
411
343
184
525
695
307
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one
148
546
355
A. No, because the populations are not normally distributed.
632
468
554
166
321
399
B. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.
C. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.
D. No, because the samples are not independent.
Print
Done
(c) Test the hypothesis that the mean head injury for each vehicle type is the same at the a = 0.01 level of significance.
Use technology to find the F-test statistic for this data set.
Fo = |(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69bfa557-4209-42ee-b04b-950601280336%2Fb78163a1-153f-4ec8-816b-da5fe492987e%2F4cd5ndq_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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. Complete parts (a) through (d) below.
Click the icon to view the data table.
Head injuries
.....
(a) State the null and alternative hypotheses.
A. Ho: HCars = HVans = HsUVs and H,: at least one mean is different
Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVS)
B. Ho: HCars = HVans = HsUVs and H,: all means are different
261
148
224
134
240
215
O C. Ho: HCars = Hvans = Hsuvs and H,: HCars < HVans <Hsuvs
411
343
184
525
695
307
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one
148
546
355
A. No, because the populations are not normally distributed.
632
468
554
166
321
399
B. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.
C. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.
D. No, because the samples are not independent.
Print
Done
(c) Test the hypothesis that the mean head injury for each vehicle type is the same at the a = 0.01 level of significance.
Use technology to find the F-test statistic for this data set.
Fo = |(Round to three decimal places as needed.)
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