3. The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim thatthe four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests?Analysis of VarianceSourceDFAdj SSAdj MSF-ValueP-ValueSize30.63420.21140.530.664Error4417.55160.3989Total4718.1858...Determine the null hypothesis.Ho:Determine the alternative hypothesis.H4:Determine the test statistic.The test statistic is(Round to two decimal places as needed.)Determine the P-value.The P-value is.(Round to three decimal places as needed.)Does size of the car appear to have an effect on the force on the left femur in crash tests?Ho. Theresufficient evidence at a 0.05 significance level to warrant rejection of the claim that the four vehicle size categories have the same mean force on the left femur in crash tests.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests? Analysis of Variance Source Size Error Total Determine the null hypothesis. Ho: DF Adj SS 0.5088 18.4992 3 48 51 19.0080 H₁: Determine the alternative hypothesis. Adj MS 0.1696 0.3854 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. F-Value 0.44 P-Value 0.725 The P-value is. (Round to three decimal places as needed.) Does size of the car appear to have an effect on the force on the left femur in crash tests? Ho. There sufficient evidence at a 0.05 significance level to warrant rejection of the…
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests? Analysis of Variance Source DF Adj SS Adj MS F-Value 0.45 P-Value 0.718 Size 3 0.5373 0.1791 Error 52 20.6908 0.3979 Total 55 21.2281 ... Determine the null hypothesis. Ho: Determine the alternative hypothesis. H₁: Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) Does size of the car appear to have an effect on the force on the left femur in crash tests? Ho. There sufficient evidence at a 0.05 significance level to warrant rejection of…
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests? olve this F1 2 Analysis of Variance Source DF Size Error Total W S Determine the null hypothesis. X 3 52 H command 55 View an example Get more help Adj SS 0.7281 20.0304 20.7585 Ho: #1=H₂=H3 = µ4 Determine the alternative hypothesis. H₁: At least one of the means is different from the others Determine the test statistic. #3 The test statistic is (Round to two decimal places as needed.) 20 F3 E D C Adj MS 0.2427 0.3852 54 $ R F F4 % 5 F-Value 0.63 V T P-Value 0.599 G 6 B MacBook Air @ F6 Y H & 7 N F7 * 8 M | ( 9 K F9 ) ABBA H O L F10 command Clear all P F11 alt…
A study examined the link between sodium intake and blood pressure inchildren and adolescents between the ages of 8 and 18. The mean systolicblood pressure (SBP) was 112.8 mm Hg among the 636 study participants whowere overweight or obese and consumed high levels of sodium. Based on thisdata the researchers need to decide if they believe that the mean systolicblood pressure for the group was higher than for other groups. a. What would be a Type I error in this context? Your answer shouldconsist of both the researchers’ decision and what the reality is. b. What would be a Type II error in this context? Your answer shouldconsist of both the researchers’ decision and what the reality is.
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, run your analyses in R to test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car (higher pressure = less safe). Compact Car Midsize Car Full-Size Car 643 469 484 655 427 456 702 525 402 What kind of statistical analysis do you need to use and why? State the null and alternative hypotheses. Check your assumptions. Include screenshots of your R output and explain why each of them are or are not met. Using R, run your analysis and include a screenshot. Using R, run post-hoc tests and include a screenshot. What do you conclude about the null hypothesis? What does each of your p-values tell you? Are there differences and in which comparisons?…
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the car types. Each car in the sample is subjected to a crash test, and the mean pressure applied to the driver's head is measured. Data is stored in file CrashTest. NTSB wants to test whether the mean pressure applied to the driver’s head during a crash test is equal for each type of car. What is the response variable? A) Each car type (compact, midsize, full-size) B) Car type C) Mean pressure applied to the driver’s head during a crash test D) Safety of compact cars What is the factor? A) Each car type (compact, midsize, full-size) B) Safety of compact cars C) Car type D) Mean pressure applied to the driver’s head during a crash test What are the treatments? A) Safety of compact cars B) Each car type (compact, midsize, full-size) C) Car type D) Mean pressure applied to…

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