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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

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

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

 

    1.  What kind of statistical analysis do you need to use and why?
    2.  State the null and alternative hypotheses.
    3. Check your assumptions. Include screenshots of your R output and explain why each of them are or are not met.
    4.  Using R, run your analysis and include a screenshot.
    5.  Using R, run post-hoc tests and include a screenshot.
    6.  What do you conclude about the null hypothesis?
    7.  What does each of your p-values tell you? Are there differences and in which comparisons?
    8.  Explain what your p-values are telling you regarding the safety of the cars.
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What does the p values tell us about the safety of the car? 

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