Identify the Distribution of the Sample Mean $\bar { x }$

question 14

Multiple Choice

Identify the distribution of the sample mean. In particular, state whether the distribution of $\bar { x }$ is normal or approximatelynormal and give its mean and standard deviation.
-The weights of people in a certain population are normally distributed with a mean of 152 lb and a standard deviation of 22 lb. Determine the sampling distribution of the mean for samples of size 2.

• A)Approximately normal, mean = 152 lb, standard deviation = 11 lb
• B)Approximately normal, mean = 152 lb, standard deviation = 15.56 lb
• C)Normal, mean = 152 lb, standard deviation = 22 lb
• D)Normal, mean = 152 lb, standard deviation = 15.56 lb

---

Definitions:

Authority Figures

Individuals who hold power or influence over others, often in positions of leadership or governance, and are recognized for their skills, knowledge, or position.

Stanford Prison Study

A psychological experiment that investigated the effects of perceived power and authority on behavior, conducted by Philip Zimbardo.

Zimbardo

Psychologist known for leading the Stanford Prison Experiment, which studied the psychological effects of perceived power.

Sinister Ways

Methods or actions that are considered to be evil, harmful, or morally wrong.