Use the following information for questions:
Suppose that amount spent by students on textbooks this semester has approximately a bell-shaped distribution. The mean amount spent was $300 and the standard deviation is $100.
-What percent of students spent more than $350?
A) 50%
B) 0.5%
C) 69.15%
D) 30.85%

Question

Use the following information for questions:
 Suppose that amount spent by students on textbooks this semester has approximately a bell-shaped distribution. The mean amount spent was $300 and the standard deviation is $100.
-What percent of students spent more than $350?
A) 50%
B) 0.5%
C) 69.15%
D) 30.85%

Quizplus · Accepted Answer

To find the percentage of students who spent more than $350 on textbooks, we use the properties of the bell-shaped distribution, which is assumed to be a normal distribution. The Z-score for $350 is calculated as (350 - 300) / 100 = 0.5. Looking up 0.5 on the Z-table or using a calculator for the normal distribution, we find that approximately 69.15% of values lie below $350. Therefore, 100% - 69.15% = 30.85% of students spent more than $350.

Use the Following Information for Questions