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:

Motor Skills

The abilities required to perform complex muscle-and-nerve acts that enable smooth, coordinated movements, typically divided into fine and gross motor skills.

Parenting Practices

The behaviors and strategies employed by parents in raising their children, which can vary widely across cultures and individuals.

Heterosexual Families

Family units comprised of partners of the opposite sex, along with their children if any.

Lesbian Families

Family units comprised of lesbian couples, with or without children, characterized by same-gender parental figures.