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(a) State the null and alternative hypotheses. OA. Ho: HCars = Hvans OB. Ho: HCars = HVans SUVs and H₁: HCars Vans SUVs SUVs and H₁: all means are different OC. Ho: HCars = HVans SUVs and H₁: at least one mean is 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. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O B. No, because the populations are not normally distributed. O C. No, because the samples are not independent. O D. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.

(a) State the null and alternative hypotheses. OA. Ho: HCars = Hvans OB. Ho: HCars = HVans SUVs and H₁: HCars Vans SUVs SUVs and H₁: all means are different OC. Ho: HCars = HVans SUVs and H₁: at least one mean is 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. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O B. No, because the populations are not normally distributed. O C. No, because the samples are not independent. O D. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Large family cars passenger vans SUVS midsize
265 149 223
135 237 214
405 343 187
530 691 309
150 548 351
632 474 552
165 319 399
(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 α = 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 α = 0.01 level of significance.
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. Click the icon to view the data table. C (a) State the null and alternative hypotheses. O A. Ho: HCars = Hvans HSUVs and H₁: HCars <Hvans <HSUVs OB. Ho: HCars = Hvans SUVs and H₁: all means are different OC. Ho: HCars = Hvans HSUvs and H₁: at least one mean is 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. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O B. No, because the populations are not normally distributed. O C. No, because the samples are not independent. O D. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.
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. Click the icon to view the data table. C (a) State the null and alternative hypotheses. O A. Ho: HCars = Hvans HSUVs and H₁: HCars <Hvans <HSUVs OB. Ho: HCars = Hvans SUVs and H₁: all means are different OC. Ho: HCars = Hvans HSUvs and H₁: at least one mean is 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. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O B. No, because the populations are not normally distributed. O C. No, because the samples are not independent. O D. Yes, all the requirements for use of a one-way ANOVA procedure are satisfied.
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