Question

In: Statistics and Probability

Based on the following data for car crash deceleration measurements, do a 2-Way ANOVA test and...

Based on the following data for car crash deceleration measurements, do a 2-Way ANOVA test and determine if car size and /or country of origin make a difference in crash effects on the passenger. Use results to answer question 6 (i.e., the question that will be #6 on the test)

Car Crash Effects On Passenger (In “g”s)

      Small Medium Large Cars

Foreign 47 39 38

   45 44 40

   43 47 42

Domestic 43 43 37

   44 37 38

   42 34 33

Solutions

Expert Solution

Hypothesis

Ho: Car size and /or country of origin make a not difference in crash effects on the passenger.

H1: Car size and /or country of origin make a difference in crash effects on the passenger

SUMMARY Count Sum Average Variance
Foreign 3 124 41.33333 24.33333
3 129 43 7
3 132 44 7
Domestic 3 123 41 12
3 119 39.66667 14.33333
3 109 36.33333 24.33333
Small 6 264 44 3.2
Medium 6 244 40.66667 23.46667
Large 6 228 38 9.2
ANOVA
Source of Variation SS df MS F P-value F crit
Rows 109.7778 5 21.95556 3.15655 0.057463 3.325835
Columns 108.4444 2 54.22222 7.795527 0.009111 4.102821
Error 69.55556 10 6.955556
Total 287.7778 17

F- calculate > P- value

The Reject the null hypothesis.

conculsion:

Car size and /or country of origin make a difference in crash effects on the passenger.


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