SOLUTION: A set of data has a normal distribution with a mean of 110 and a standard deviation of 20. Find the interval about the mean within which 90% of the data lie. -93.5-126.5 -77

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Question 1036290: A set of data has a normal distribution with a mean of 110 and a standard deviation of 20.
Find the interval about the mean within which 90% of the data lie.
-93.5-126.5
-77-143
-78-142
-103.5-136.5
Find the probability that a value selected at random from this data is between 100 and 120.
-38.8%
-50%
-95.5%
-68.3%

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
For a normal distribution z.95=1.645
110+/-1.645*20=110+/-32.9, or (77.1, 142.9). It is the second choice.
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Here, it is 1/2 of a sd on each side, and that is the probability of -0.5