# Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

###### Question:

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 of the treatments (car types). Test whether the mean pressure applied to the driver’s head during a crash test is equal for each type of car.

To answer the question, we can set it up as a hypothesis testing problem and use the data collected to answer it. Complete the following to show how this would be done. (1 point each)

1. What statistical test would be appropriate in this case? Explain the rationale for your answer.
2. State the null and alternative hypotheses in words.
3. State the null and alternative hypotheses in statistical symbols
4. Would the test be right-tailed, left-tailed or two-tailed? Explain the rationale for your answer.
5. Describe a potentially confounding variable and explain how that might affect the conclusions from the study.

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