Poly(3-hydroxybutyrate) (PHB), a semicrystallinepolymer that is fully biodegradable and biocompatible,is obtained from renewable resources. From a sustainabilityperspective, PHB offers many attractive propertiesthough it is more expensive to produce than standardplastics. The accompanying data on melting point(°C) for each of 12 specimens of the polymer using adifferential scanning calorimeter appeared in the article“The Melting Behaviour of Poly(3-Hydroxybutyrate)by DSC. Reproducibility Study” (Polymer Testing,2013: 215–220).180.5 181.7 180.9 181.6 182.6 181.6181.3 182.1 182.1 180.3 181.7 180.5Compute 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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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 the article
“The Melting Behaviour of Poly(3-Hydroxybutyrate)
by DSC. Reproducibility Study” (Polymer Testing,
2013: 215–220).
180.5 181.7 180.9 181.6 182.6 181.6
181.3 182.1 182.1 180.3 181.7 180.5
Compute the following:
a. The sample range
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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