The following table gives the ages at which various scientists made breakthrough

Question

The following table gives the ages at which various scientists made breakthroughs (for example, Einstein came up with the General Theory of Relativity at age 26).
Discoverer Age
Copernicus 40
Galileo 34
Newton 23
Franklin 40
Lavoisier 31
Lyell 33
Darwin 49
Maxwell 33
Curie 34
Planck 43
Einstein 26
Schrodinger 39
What can be inferred from these data about the true average age at which scientists do their best work? Answer the question by constructing a 95% confidence interval. Hint:
You need to calculate x for this list, I will tell you that s = 7:23.

Explanation / Answer

mean is 35.42 ME = 1.96*7.23/sqrt(12) = 4.09 35.42-4.09 = 31.33 35.42+4.09 = 39.51

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