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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, almost 2.5% of the students spent more than what amount of money 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 235andastandarddeviationof235 and a standard deviation of 20. According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?

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Solution

To find the amount of money that almost 2.5% of the students spent more than on textbooks in a semester, we can use the standard deviation rule.

According to the rule, in a normal distribution, approximately 2.5% of the data falls above 2 standard deviations from the mean.

In this case, the mean is 235andthestandarddeviationis235 and the standard deviation is 20.

To calculate 2 standard deviations above the mean, we multiply the standard deviation by 2 and add it to the mean:

2 * 20+20 + 235 = 40+40 + 235 = $275

Therefore, almost 2.5% of the students spent more than $275 on textbooks in a semester.

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