It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car?
SUV into Car | SUV Damage ($) | Car Damage ($) |
Honda CR-V into Honda Civic | $1,721 | $1,274 |
Toyota RAV4 into Toyota Corolla | $1,434 | $2,327 |
Hyundai Tuscon into Kia Forte | $850 | $3,223 |
Volkswagon Tiguan into Volkswagon Golf | $2,329 | $2,058 |
Jeep Patriot into Dodge Caliber | $1,415 | $3,095 |
Ford Escape into Ford Focus | $1,470 | $3,386 |
Nissan Rogue into Nissan Sentra |
$2,884 | $4,560 |
Test the claim above at the α=0.1 level of significance. Note: A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers
- What is the pp -value? Round to 4 decimal places.
p= ____________
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source.
Location | Zinc concentration in bottom water | Zinc concentration in surface water |
1 | .430 | .415 |
2 | .266 | .238 |
3 | .567 | .390 |
4 | .531 | .410 |
5 | .707 | .605 |
6 | .716 | .609 |
7 |
.651 | .632 |
8 |
.589 | .523 |
9 |
.469 | .411 |
10 |
.723 | .612 |
Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the α=0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers.
- What is the test statistic? Round to 3 decimal places.
- What is the p -value? Round to 4 decimal places.
p= ________________
Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane.
Person | Miles with 87 Octane |
Miles with |
1 | 234 | 237 |
2 | 257 | 238 |
3 | 243 | 229 |
4 | 215 | 224 |
5 | 114 | 119 |
6 | 287 | 297 |
7 |
315 | 351 |
8 |
229 | 241 |
9 |
192 | 186 |
10 |
204 | 209 |
11 |
547 | 562 |
Do the data support that different octanes produce different miles per gallon at the α=0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers.
- What is the significance level?
α= ________________ - What is the test statistic? Round to 3 decimal places.
=_________________ - What is the pp -value? Round to 5 decimal places.
p=____________
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