The following applies to Questions 1- 3. Suppose the Transportation Safety Board

Question

The following applies to Questions 1- 3. Suppose the Transportation Safety Board of Canada wants to examine the safety of compact cars, midsize cars, and full- size cars. The following table displays the pressure applied to the driver's head during a crash test for samples of cars of each type, along with some summary statistics Compact Midsize Full-size 469 427 525 471 473 643 655 703 484 456 401 447 std. dev.31.75 40.17 42.23 mean 667 An analysis of variance to compare the mean pressure applied to the driver's head for the three car types was conducted Suppose that all necessary assumptions have been satisfied Question 1 (1 point) The overall mean response for the three car types is: (Report your final answer to one decimal place.) Your Answer: Answer

Explanation / Answer

1) Overall Mean = add all values

Overall Mean = 5234/10 = 523.4

2)

The F statistic has two degrees of freedom. These are denoted df1 and df2, and called the numerator and denominator degrees of freedom, respectively. The degrees of freedom are defined as follows:

df1 = k-1 and df2=N-k,

where k is the number of comparison groups and N is the total number of observations in the analysis.

Here, df1 = 3 - 1 = 2

df2 = 10 - 3 = 7

F critical = 4.74

3) A Type 1 Error is a false positive -- i.e. you falsely reject the (true) null hypothesis.

A option is correct

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