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In a crash test, cars are crashed at 35 mph. The response variable is a measure of head injury. Researchers want to know if


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In a crash test, cars are crashed at 35 mph. The response variable is a measure of head injury. Researchers want to know if which seat the dummy is in affects head injury severity, as well as whether the type of car affects severity. There are two different seats (driver, passenger) and six different size classifications (compact, light, medium, mini, pickup, van). Use the accompanying table and plots to answer parts a) through c). Click the icon to view the Two-Way ANOVA summary table. Click the icon to view the boxplots, interaction plot, and residual plot. c) If the conditions for two-way ANOVA are met, perform the hypothesis tests and state your conclusion. Be sure to state it in terms of head injury severity, seats, and vehicle types. What are the hypotheses for the interaction term? A. Ho: There is no interaction between car size and mean severity of head injuries. HA: There is an interaction between car size and mean severity of head injuries. B. Ho: There is no interaction between car seat and mean severity of head injuries. HA: There is an interaction between car seat and mean severity of head injuries. OC. Ho: There is no interaction among car seat, car size, and mean severity of head injuries. HA: There is an interaction among car seat, car size, and mean severity of head injuries. D. Ho: There is no interaction between car seat and car size. HA: There is an interaction between car seat and car size. What is the test statistic for the interaction term? F-ratio= (Type an integer or a decimal.) Two-Way ANOVA Plots 3.25 3.00 2.75 2.50 Driver Passenger Seat Size Effect (severity index) 2.7 2.4 3.0 3.3 Seat Effect (severity index) 5 31 3.3 Head Injury (severity index) 2.9 2.7 2.5 2.3 2.1 2222 Compact Light Medium Mini Pickup Van Size - Driver Passenger Compact Light Medium Mini Pickup Size 0.6 - Residuals (severity index) -0.3 0.3 se ANEL WW 2.8 Van D 2.9 3.0 Predicted Values (severity index) Print Done 3.1 Two-Way ANOVA Summary Sum of Mean Source DF Squares Square Seat 1 F-ratio P-value 0.86682 0.86682 24.480

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