1.4...9. Crea tivity, as any number of studies bave shown, is very much a province of the young. Whether the focus is music, literature, science, or an individual's best work seldom occurs late in life. Einstein, for made his most prnfound discoveries a t the age of 26; Newlon, at the age 23. The following are 12 scientific breakthroughs daling from the middle of the sixteenth century to the early years of the twentieth century (216). All represented high-water marks in the careers of the scientists involved .
Earth goes around sun
Telescope, basic laws of astronomy
PrincipJes of motion., gravitation, calculus
Nature of electricity
BW'l'llllg is uniting with oxygen
evolved by gradual processes
Evidence for natural selection controlling evolution
Field equatioru; for light
Special theory of relativity, E =mc2
Mathematical foundatioru; for quantum theory
(a) What can be inferred from these data about the true average age at whim scientists
do their best work? the question by constructing a 95o/o confidence interval.
(b) Before constructing a confidence interval for a set of obrervatioru; extending over a long period of we should be convinced that the y;s exhibit no biases or trends. If,for example, the age at which scientists made major discoveries decreased from century to century, then the parameter µ. would no longer be a coru;tant, and the confidence interval would be meaningless. Plot "date" versw, "age" for these 12 discoveries. Put "date" on the abscissa. Does the variability in the YiS appear to random with to
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