Describing difference in variances

Reference no: EM1319154

Q1) Sample of 25 concession stand purchases at October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with standard deviation of $3.02. For October 26 evening showing of the same movie, for sample of 25 purchases mean was $5.12 with standard deviation of $2.14. Means appear to be very close, but not variances. At α = .05, is there a difference in variances? Illustrate all steps clearly, including illustration of the decision rule.

Q2) In bumper test, 3 types of autos were deliberately crashed into barrier at 5 mph, and resulting damage (in dollars) was estimated. 5 test vehicles of each type were crashed, with the results shown below.

Research question: Are mean crash damages the same for these three vehicles?

Crash Damage ($)

Goliath	Varmint	Weasel
1,600	1,290	1,090
760	1,400	2,100
880	1,390	1,830
1,950	1,850	1,250
1,220	950	1,920

Reference no: EM1319154

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