Carbon nanofibers have potential application as heat-management materials, for composite reinforcement, and as components for nanoelectronics and photonics. The accompanying data on failure stress (MPa) of a sample of electrospun carbon nanofiber specimens was obtained. a) Do these data appear normally distributed? Why or why not?
b) Can a confidence interval for the true average fiber failure stress be calculated without assuming anything about the underlying distribution? Justify your reasoning.
c) Calculate and interpret a 95% confidence interval for the true mean fiber failure stress.
d) Calculate a 95% prediction interval for the fiber failure stress. Interpret what the prediction interval means.
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