Question

In: Statistics and Probability

– Analysis of Variance Suppose we want to examine the safety of compact cars, midsize cars,...

– Analysis of Variance

Suppose we want to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of five for each type of cars. Test, whether the mean pressure applied to the driver’s head during a crash test, is equal for each types of car and tell which type of cars had a significant effect on the accident injuries. Use α = 5%.

Compact cars

midsize cars

full-size cars

625

437

490

675

475

446

712

525

402

716

510

490

680

450

460

  1. Set Null and alternative hypothesis:
  2. Do step by step calculations to determine the calculated F and compare it to the critical f stat.
  3. Set your Decision Rule, interpretation and conclusion.
  4. Apply ANOVA using Excel and check your results.
  5. Apply t-test two-samples assuming equal variances to determine which type of cars had a significant effect on the accident injuries.

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