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 amount spent on textbooks has a standardized score equal to 0.5?
A) $150
B) $250
C) $300.50
D) $350

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 amount spent on textbooks has a standardized score equal to 0.5?
A) $150
B) $250
C) $300.50
D) $350

Quizplus · Accepted Answer

The standardized score (z-score) is calculated using the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. To find $X$ when $z = 0.5$, $0.5 = \frac{(X - 300)}{100}$. Solving for $X$ gives $X = 0.5 \times 100 + 300 = 350$.

Use the Following Information for Questions