A Random Sample of 100 Families in a Large City

question 67

Essay

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months.
Can we conclude at the 5% significance level that the true mean number of months families in this city have been living in their current homes is at least 30 months?

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Definitions:

National Association

A general term for organizations that operate across an entire nation, representing interests in various fields like civil rights, professional standards, or sports.

Colored Women

An outdated term historically used to refer to women of non-white or mixed racial heritage, now considered derogatory and no longer in appropriate use.

Talented Tenth

A term popularized by W.E.B. Du Bois referring to the supposed ten percent of African Americans who could lead the race to greater advancements through higher education and intellectual achievement.

Niagara Movement

An early 20th-century African-American civil rights group advocating for political, civil, and social rights, precursor to the NAACP.