SOLUTION: The mean age of students at a high school is 16.5 with a standard deviation of 0.7 you use the standard normal table to determine that the probability of selecting one student at r

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Question 1190149: The mean age of students at a high school is 16.5 with a standard deviation of 0.7 you use the standard normal table to determine that the probability of selecting one student at random whose age is more than 17.5 years is about 8% what is the error in this problem?
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
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The mean age of students at a high school is 16.5 with a standard deviation of 0.7
you use the standard normal table to determine that the probability of selecting
one student at random whose age is more than 17.5 years is about 8%
what is the error in this problem?
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I want to convince you that the statement in the post is non-sensical.

Let consider one academic year, let say from September to May, inclusive.

In the post, the mean age is considered as a real number continuous variable (since it uses decimals etc.)

But this "mean" (defined and used this way as a real decimal number) CHANGES during the academic year,
which is not reflected in the problem.


                Again: during the academic year, such a conception
        as a mean students age does not exist as a fixed real continuous decimal variable.


I do not know if I answered your question - - - it was not my goal.

My goal was to explain that the conception does not exist, which is discussed in the post.