Answered: b. the sample variance s2 from the…

b. the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] c. the sample standard deviation d. s2 using the shortcut method

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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Question

Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article.

180.4	181.7	180.9	181.7	182.7	181.5
181.4	182.1	182.1	180.4	181.8	180.4

Compute the following. (Round your answer to two decimal places.)

b. the sample variance s² from the definition [Hint: First subtract 180 from each observation.]

c. the sample standard deviation

d. s² using the shortcut method

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Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimensof the polymer using a differential scanning calorimeter appeared in the article “The Melting Behaviour of Poly (3-Hydroxybutyrate) by DSC. Reproducibility Study” (Polymer Testing, 2013: 215-220). Compute the following:a. The sample rangeb. The sample variance s2 from the definition [Hint: First subtract 180 from each observation.]c. The sample standard deviationd. s2 using the shortcut method
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