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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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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Help finding:

  1.  Test the null hypothesis that the mean head injury for each vehicle type is the same at the
    α=0.01
    level of significance.
      1. What is the F0
      2. What is the P Value
  2. 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.)
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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