A study is made regarding the reaction times (in seconds) to danger among four g

Question

A study is made regarding the reaction times (in seconds) to danger among four groups of professional drivers: bus drivers, cab drivers, truck drivers, and race car drivers. The results are as follows:

Reaction Time (in seconds)

Assume the reaction times do not follow the normal distributions. At the 0.05 significance level, can we conclude there is a difference in reaction times?

Completely list the five steps in the testing procedure. State your conclusions and back them up with relevant data.

Cab Drivers Bus Drivers Truck Drivers Race Car Drivers 3.4 4.5 3.7 2.8 3.3 4.0 3.0 2.7 1.9 2.9 2.1 3.8 3.1 3.1 2.9 2.2 2.5 3.7 1.8 1.7 4.4 3.6

Explanation / Answer

Conclusion: at 0.05 level, the F-statistic value is less than F-critical value, hence we can conclude that there is o difference in reaction times among different groupd of drivers.

SUMMARY Groups Count Sum Average Variance Cab Drivers 5 14.2 2.84 0.398 Bus Drivers 6 22.6 3.766666667 0.438666667 Truck Drivers 6 17.1 2.85 0.595 Race Car Drivers 5 13.2 2.64 0.613

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