The Mean $\bar { x }$ Of a Data Set Is 36

question 120

Multiple Choice

The mean $\bar { x }$ of a data set is 36.71, and the sample standard deviation s is 3.22. Find the interval representing measurements within one standard deviation of the mean.

• A) (33.49, 39.93)
• B) (30.27, 43.15)
• C) (27.05, 46.37)
• D) (35.71, 37.71)

---

Definitions:

Psychological Law

A principle or regularity that is generally accepted in the field of psychology, explaining mental processes and behaviors.

Theory

A systematic framework of concepts and purposes designed to explain specific phenomena or predict future outcomes based on empirical evidence.

Phenomenon

An observable event or fact, especially one that is not fully understood, distinguished by its remarkable or unusual nature.

Interrelated Hypotheses

Interrelated hypotheses are hypotheses that are connected or have a logical relationship with each other within a broader research context.