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

question 35

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 heights of people in a certain population are normally distributed with a mean of 65 inches and a standard deviation of 3.9 inches. Determine the sampling distribution of the mean for samples of Size 44.

• A)Normal, mean = 65 inches, standard deviation = 0.59 inches
• B)Approximately normal, mean = 65 inches, standard deviation = 0.09 inches
• C)Normal, mean = 65 inches, standard deviation = 3.9 inches
• D)Normal, mean = 65 inches, standard deviation = 0.09 inches

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Definitions:

George Homans

A prominent American sociologist who contributed significantly to the development of social exchange theory.

Social Exchange Theory

A theory suggesting that social behavior is the result of an exchange process aiming to maximize benefits and minimize costs to the individuals or groups involved.

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The process by which individuals act and react in relation to others within society, encompassing both verbal and nonverbal communication.