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 92 Octane 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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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

  1. 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.

  1. What is the test statistic? Round to 3 decimal places.
       

  2. 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
92 Octane

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.

  1. What is the significance level?
    α= ________________

  2. What is the test statistic? Round to 3 decimal places.
     =_________________

  3. What is the pp -value? Round to 5 decimal places.
    p=____________ 

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