In: Statistics and Probability
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
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.