The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?
Question
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of 20. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?
Solution
To find out how much almost all (99.7%) of the students spent on textbooks in a semester, we can use the standard deviation rule for a normal distribution.
According to the rule, approximately 99.7% of the data falls within three standard deviations of the mean.
Given that the mean amount spent on textbooks is 20, we can calculate three standard deviations as follows:
Three standard deviations = 3 * 60
Therefore, almost all (99.7%) of the students spent approximately 60 = $295 on textbooks in a semester.
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