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For a normal distribution with mean of 70 and sd 10, what is the minimum score...

For a normal distribution with mean of 70 and sd 10, what is the minimum score necessary to be in the top 60% of the distribution?

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Answer #1

solution:-
given that mean = 70 , standard deviation = 10

The top 60 % represents 0.60 probability in tail. First, find the corresponding z-score for 0.60 in tail: z = 0.25

X-score: = X = µ + z* σ
   x = 70 + 0.25 * 10
  x = 72.5

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