Instruction:  Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either accepting or rejecting some statements about the population. Due to increasing fuel prices a taxi company tested a new technology that is said increase fuel efficiency. They randomly chose 12 cars and measured how many kilometers travelled per liter with and without the technology. The results were given below. Is there sufficient evidence that the technology effectively increased fuel efficiency? Use α=0.1. a) In words, define the random variable X1 = ___________ and X2 = ___________ b) Null Hypothesis c) Alternative Hypothesis d) The level of significance e) Determine the test statistic using the data (show solution). f) Provide the decision rule of the test. g) Decision: ___________  h) Conclusion

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Instruction:  Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either accepting or rejecting some statements about the population.

  1. Due to increasing fuel prices a taxi company tested a new technology that is said increase fuel efficiency. They randomly chose 12 cars and measured how many kilometers travelled per liter with and without the technology. The results were given below. Is there sufficient evidence that the technology effectively increased fuel efficiency? Use α=0.1.

a) In words, define the random variable X1 = ___________ and X2 = ___________

b) Null Hypothesis

c) Alternative Hypothesis

d) The level of significance

e) Determine the test statistic using the data (show solution).

f) Provide the decision rule of the test.

g) Decision: ___________ 

h) Conclusion

CAR
WITHOUT
WITH
TECHNOLOGY
TECHNOLOGY
1
15
18
2
16
16
17
18
4
17
19
17
17
6.
18
15
7
18
18
8
18
20
17
20
10
16
15
11
18
20
12
17
16
3.
Transcribed Image Text:CAR WITHOUT WITH TECHNOLOGY TECHNOLOGY 1 15 18 2 16 16 17 18 4 17 19 17 17 6. 18 15 7 18 18 8 18 20 17 20 10 16 15 11 18 20 12 17 16 3.
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