When Testing for Differences of Means, the T-Statistic T = $\frac { \bar { Y } m - \bar { Y } w } { S E ( \bar { Y } m - \overline { \bar { Y } w } ) }$

question 11

Multiple Choice

When testing for differences of means, the t-statistic t = $\frac { \bar { Y } m - \bar { Y } w } { S E ( \bar { Y } m - \overline { \bar { Y } w } ) }$ , where $S E \left[ \bar { Y } _ { m } - \bar { Y } _ { W } \right) = \sqrt { \frac { s _ { m } ^ { 2 } } { n _ { m } } + \frac { s _ { w } ^ { 2 } } { n _ { w } } }$ has

• A)a student t distribution if the population distribution of Y is not normal
• B)a student t distribution if the population distribution of Y is normal
• C)a normal distribution even in small samples
• D)cannot be computed unless \(n _ { w }\) = \(n _ { m }\)

---

Definitions:

Hypnotized Person

An individual who is in a state of hypnosis, characterized by increased suggestibility, relaxation, and altered consciousness.

Mind

The aspect of an individual that enables them to be aware of the world and their experiences, to think, and to feel; the faculty of consciousness and thought.

Hypnosis

A trance-like state of focused attention and heightened suggestibility, often used for therapeutic purposes.

Anesthetizing

The process of administering drugs to induce a state of temporary insensitivity to pain.