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Use the following scenario. The Insurance Institute for Highway Safety conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In a 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a new family car and want to know whether the distribution of chest compression (mm) resulting from this crash is the same for each vehicle category at the α\alpha=0.01 level of significance. The following data were collected from the study.

Large Family CarsChest CompressionPassenger VansChest CompressionMid Size Utility VehiclesChest Compression Hyundai XG30033Toyota Sienna29Honda Pilot29Ford Taurus40Honda Odyssey28Toyota 4Runner36Buick LeSabre28Ford Freestar27Mitsubishi Endeavor35Chevrolet Impala30Mazda MPV30Nissan Murano32Chrysler 30034Chevrolet Uplander26Ford Explorer34Pontiac Grand Prix34Nissan Quest33Jeep Liberty42Toyota Avalon31Kia Sedona36Buick Rendezvous29\begin{matrix} \text{Large Family Cars} & \text{Chest Compression} & \text{Passenger Vans} & \text{Chest Compression} & \text{Mid Size Utility Vehicles} & \text{Chest Compression}\\ \text{ Hyundai XG300} & \text{33} & \text{Toyota Sienna} & \text{29} & \text{Honda Pilot} & \text{29}\\ \text{Ford Taurus} & \text{40} & \text{Honda Odyssey} & \text{28} & \text{Toyota 4Runner} & \text{36}\\ \text{Buick LeSabre} & \text{28} & \text{Ford Freestar} & \text{27} & \text{Mitsubishi Endeavor} & \text{35}\\ \text{Chevrolet Impala} & \text{30} & \text{Mazda MPV} & \text{30} & \text{Nissan Murano} & \text{32}\\ \text{Chrysler 300} & \text{34} & \text{Chevrolet Uplander} & \text{26} & \text{Ford Explorer} & \text{34}\\ \text{Pontiac Grand Prix} & \text{34} & \text{Nissan Quest} & \text{33} & \text{Jeep Liberty} & \text{42}\\ \text{Toyota Avalon} & \text{31} & \text{Kia Sedona} & \text{36} & \text{Buick Rendezvous} & \text{29}\\ \end{matrix}

Question

The compact fluorescent bulb is another fairly new light source that is likely to have a large impact on home lighting. These bulbs combine the energy effi ciency of traditional fl uorescent lights with the smaller size, “warmer” light, and dimming ability of incandescent lights. Although compact fluorescent bulbs are expensive, manufacturers claim that subsequent savings will more than offset the initial costs. Analyze the relative cost of incandescent versus compact fluorescent lighting, assuming that the information in the table below is accurate. Are industry claims of cost savings justified?

Compact Fluorescent Incandescent
Initial cost $15.00 $2.00
Electricity usage 18 watts 75 watts
Electricity cost 0.04//kwh 0.04//kwh
Lifetime 10,000 hours 2,500 hours

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The costs for two kinds of light bulbs are given and to compare the two, at first, calculate the total cost of buying a bulb

Total cost=Initial cost+[Electricity usageElectricity costLifetime]\textbf{Total cost} = \text{Initial cost} + [\text{Electricity usage} \cdot \text{Electricity cost} \cdot \text{Lifetime}]

Then, compare the savings by calculating the costs for using the two bulbs for the same time period in order to agree or disagree with the statement that 'fluorescent bulbs' are better subsequent savings-wise.

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