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Statistical Distribution Of Concern Scores

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September 6th, 2022

Suppose that a researcher found that the people living in a particular city have a mean score of 40 and a standard deviation of 5 on a measure of concern about the environment. Assume that their concern scores are normally distributed. Approximately what percentage of people in this city have a score (a) above
40, (b) above 45, (c) above 30, (d) above 35, (e) below 40, (f) below 45, (g) below 30, (h) below 35? What is the minimum score a person has to have to be in the top (i) 2%, (j) 16%, (k) 50%, (l) 84%, (m) 98%?
(Use the 50%-34%-14% approximations for this problem.)

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