Homework Help is Here – Start Your Trial Now!
Math
Statistics
Please answer questions in image Large Family Cars Passenger Vans Midsize Utility Vehicles SUVs 266 149 225 134 240 218 410 343 188 529 698 305

Please answer questions in image Large Family Cars Passenger Vans Midsize Utility Vehicles SUVs 266 149 225 134 240 218 410 343 188 529 698 305

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
See similar textbooks
icon
Related questions
Question

Please answer questions in image

Large Family Cars Passenger Vans Midsize Utility Vehicles SUVs
266 149 225
134 240 218
410 343 188
529 698 305
149 554 356
622 473 554
167 325 396
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 (c) below C (a) State the null and alternative hypotheses. O A. Ho: HCars = Hvans SUVs and H₁: HCars <Hvans <PSUVs OB. Ho: HCars = HVans HSUvs and H₁: at least one mean is different OC. Ho: HCars = HVans SUVs and H₁: all means are different (b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied? O A. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied. O B. No, because the samples are not independent. O C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O D. No, because the populations are not normally distributed. (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 technoloav to find the F-test statistic for this data set.
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 (c) below C (a) State the null and alternative hypotheses. O A. Ho: HCars = Hvans SUVs and H₁: HCars <Hvans <PSUVs OB. Ho: HCars = HVans HSUvs and H₁: at least one mean is different OC. Ho: HCars = HVans SUVs and H₁: all means are different (b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied? O A. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied. O B. No, because the samples are not independent. O C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O D. No, because the populations are not normally distributed. (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 technoloav to find the F-test statistic for this data set.
(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. F₁ = (Round to three decimal places as needed.) Determine the P-value and state the appropriate conclusion below. Since the P-value is, there is (Round to four decimal places as needed.) evidence to reject the null hypothesis. Thus, we conclude that the means are different at the a= 0.01 level of significance.
Transcribed Image Text:(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. F₁ = (Round to three decimal places as needed.) Determine the P-value and state the appropriate conclusion below. Since the P-value is, there is (Round to four decimal places as needed.) evidence to reject the null hypothesis. Thus, we conclude that the means are different at the a= 0.01 level of significance.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer