An environmentalist wonders whether cars get better gas mileage when using regular or premium gas. To test this, she selects 10 cars from a rental company. Each car is filled first with either regular or premium gasoline, decided by a coin toss, and the mileage for that tankful is recorded. Then the mileage is recorded again or the same cars for a tankful of the other kind of gasoline. The data is provided below: Car # 1 2 3 4 5 6 7 8 9 10 Regular 16 20 21 22 23 22 27 25 27 28 Premium 19 22 24 24 25 25 26 26 28 32   Using a hypothesis test, determine if there is evidence that cars get significantly better fuel economy with premium gasoline.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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  1. An environmentalist wonders whether cars get better gas mileage when using regular or premium gas. To test this, she selects 10 cars from a rental company. Each car is filled first with either regular or premium gasoline, decided by a coin toss, and the mileage for that tankful is recorded. Then the mileage is recorded again or the same cars for a tankful of the other kind of gasoline. The data is provided below:

Car #

1

2

3

4

5

6

7

8

9

10

Regular

16

20

21

22

23

22

27

25

27

28

Premium

19

22

24

24

25

25

26

26

28

32

 

Using a hypothesis test, determine if there is evidence that cars get significantly better fuel economy with premium gasoline.

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