An article in the Materials Research Bulletin [1991, Vol.
Chapter 13, Problem 12E(choose chapter or problem)
An article in the Materials Research Bulletin [1991, Vol. 26(11)] investigated four different methods of preparing the superconducting compound \(\mathrm{PbMo}_{6} \mathrm{~S}_{8}\). The authors contend that the presence of oxygen during the preparation process affects the material’s superconducting transition temperature \(T_{\mathrm{c}}\). Preparation methods 1 and 2 use techniques that are designed to eliminate the presence of oxygen, and methods 3 and 4 allow oxygen to be present. Five observations on \(T_{\mathrm{c}}\) (in \({ }^{\circ} \mathrm{K}\)) were made for each method, and the results are as follows:
(a) Is there evidence to support the claim that the presence of oxygen during preparation affects the mean transition temperature? Use \(\alpha=0.05\)
(b) What is the \(P \text {-value }\) for the \(F \text {-test }\) in part (a)?
(c) Analyze the residuals from this experiment.
(d) Find a \(95 \%\) confidence interval on mean \(T_{\mathrm{c}}\) when method 1 is used to prepare the material.
Equation Transcription:
Text Transcription:
PbMo6S8
Tc
Tc
°^K
\alpha =0.05
P-value
F-test
95%
Tc
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