DAT/565: DATA ANALYSIS AND BUSINESS ANALYTICS WK 4 – PRACTICE: WK 4 EXERCISES CALCULATION OF TOTAL STD. DEV (ONE VALUE ONLY TO BE CALCULATED)

In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?

Crash Damage ($)   Goliath Varmint Weasel   1,590 1,240 1,070   760 1,430 2,180   890 1,360 1,850   1,980 1,860 1,200   1,220 910 1,950

Total Std. Dev ? (only) Nothing more to calculate. Need to have the correct calculated value.

These values are wrong: Total Std. Dev

Total Std. Dev=Pooled StDev=sqrt(MSE)=sqrt(202790)=450.322

Total Std. Dev=Pooled StDev=450.3226

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