Suppose a Sample of N = 50 Items Is Selected

question 143

Multiple Choice

Suppose a sample of n = 50 items is selected from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with μ = 6 ounces and σ = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 15 is selected?

• A) The mean of the sampling distribution is 6 ounces.
• B) The standard deviation of the sampling distribution is 2.5 ounces.
• C) The shape of the sampling distribution is approximately normal.
• D) All of the above are correct.

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Definitions:

Minimal Intergroup Situation

A theoretical situation used in social psychology to study the minimal conditions required for discrimination to occur between groups.

Social Identities

Refers to how individuals identify themselves in relation to groups, such as national, cultural, or religious affiliations.

Stereotype Threat

The risk of confirming negative stereotypes about one's social group, which can impair performance in affected individuals.

Social Identity Theory

A theory proposing that individuals derive part of their self-concept and esteem from their membership in social groups, influencing intergroup behavior.