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# Reaction time study

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 (Seconds)
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

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.

#### Solution Preview

Step 1: the research question we want to study is if there is any difference in reaction times.

Step 2: Ho: µ1(cab)=µ2(bus)=µ3(truck)=µ4(race)
Ha: at least two of them are not equal.

Step 3: to calculate the test statistic, we could perform ANOVA in excel under data ...

#### Solution Summary

A research time study is provided for profession drivers. The expert lists the five steps in the testing procedures.

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