Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An artidle reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.4 and the sample standard deviation was 1.5. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for condluding that true average strength for the WSF/cellulose composite exceeds this value? (Use a = 0.05.)
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An artidle reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.4 and the sample standard deviation was 1.5. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for condluding that true average strength for the WSF/cellulose composite exceeds this value? (Use a = 0.05.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
| t | = | |
| P-value | = |
Transcribed Image Text:Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites
using natural materials. An artidle reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength
(MPa) was 51.4 and the sample standard deviation was 1.5. Suppose the true average strength for 0% fibers (pure cellulose) is known
to be 48 MPa. Does the data provide compelling evidence for condluding that true average strength for the WSF/cellulose composite
exceeds this value? (Use a = 0.05.)
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