A Survey of High School Seniors from a Certain School $f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) / 240.25 }$

question 86

Multiple Choice

A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 650 with a standard deviation of 15.5. Assuming the data can be modeled by a normal probability density function, find a model for these data.

• A) \(f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) / 240.25 }\)
• B) \(f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) / 480.5 }\)
• C) \(f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 480.5 }\)
• D) \(f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 480.5 }\)
• E) \(f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 240.25 }\)

---

Definitions:

Design Thinking

An iterative process in solving problems creatively and innovatively by understanding the human needs involved, re-framing the problem in human-centric ways, and adopting a hands-on approach in prototyping and testing.

Problem Solving

The process of identifying a problem, devising alternatives to solve it, and implementing a solution.

Business Intelligence

The use of data analysis tools and methodologies by organizations to make data-driven decisions.

Escalating Commitment

A behavior pattern in which an individual or group continues to follow a failing course of action based on the time, money, or resources already invested.