Answer: Approximately 95% of the students spent between $<u> 420</u> and $<u> 544</u> on textbooks in a semester.
Step-by-step explanation:
When data is normally distributed,
Then , according to the Empirical rule , approximately 95% of the data lies with in the 2 standard deviations from mean.
Given : The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with
Mean = 482 standard deviation = 31.
Then , by
Empirical rule , approximately 95% of the students spent between Mean ± 2 (Standard deviation) on textbooks in a semester.
where , Mean ± 2 (Standard deviation) = 482 ± 2(31)
=(482-2(31) , 482+2(31))
=(420 , 544)
Hence , Approximately 95% of the students spent between $<u> 420</u> and $<u> 544</u> on textbooks in a semester.