Location Asphalt A Asphalt B 1 11.2 18.8 2 9.0 11.7 3 10.7 19.9 4 11.4 19.0 5 8.5 13.4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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A rural county presently uses Asphalt A to pave its highways, but is considering using the
more expensive Asphalt B (which is reported to be more durable). The two types of asphalt
are tested using 200m test strips on five different two-lane highways. On each test strip, a
randomly selected lane was paved with Asphalt A and the lane in the opposing direction was
paved with Asphalt B. It has been determined that it is more economical to use Asphalt B if
the length of time before resurfacing is required (i.e. longevity) is at least 2.5 years longer on
average than that of Asphalt A. Assume that the longevity of each type of asphalt is normally distributed. Using a 2% significance level and assuming that the data for the two types of asphalt at each
test strip can be paired, determine if Asphalt B lasts at least 2.5 years longer than Asphalt A
on average.

Location 1 2 3 4 5
Asphalt A 11.2 9.0 10.7 11.4 8.5
Asphalt B 18.8 11.7 19.9 19.0 13.4

 

Location
Asphalt A
Asphalt B
1
11.2
18.8
2
9.0
11.7
3
10.7
19.9
4
11.4
19.0
5
8.5
13.4
Transcribed Image Text:Location Asphalt A Asphalt B 1 11.2 18.8 2 9.0 11.7 3 10.7 19.9 4 11.4 19.0 5 8.5 13.4
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