The National Center for Education Would Like to Estimate the Average

question 89

Multiple Choice

The National Center for Education would like to estimate the average student debt for the state of Ohio with a 95% confidence interval and a margin of error within plus or minus $2,500. Assuming the standard deviation for student debt in this state is $8,000, the required sample size is _______.

• A)62
• B)40
• C)78
• D)95

---

Definitions:

Mutually Exclusive

Describes a condition in probability and statistics where two events cannot occur at the same time; the occurrence of one event excludes the possibility of the other event occurring.

Disjunction

A logical operation expressing that at least one of the connected statements is true; often symbolized with "or" in formal logic.

Probability

An indicator of an event's occurrence probability, given as a value from 0 to 1.

Disjunction

A logical operation that forms a compound statement from two statements, true if at least one of the statements is true.