In a Study of Radio Listening Habits, a Station Owner $\sigma$

question 148

Essay

In a study of radio listening habits, a station owner would like to estimate the average number of hours that teenagers spend listening each day. If it is reasonable to assume that $\sigma$ = 1.3 hours, how large a sample size is needed to be 90% confident that the sample mean is off by, at most, 30 minutes? Justify your conclusion.

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Definitions:

Depressive Symptoms

These include a range of indicators such as persistent sadness, loss of interest or pleasure, significant weight change, insomnia or excessive sleeping, and feelings of worthlessness.

Acute Grief

This refers to the intense, initial phase of grief experienced shortly after a loss, characterized by profound sadness, longing, and possibly shock or disbelief.

Clinical Depression

A mental disorder identified by ongoing feelings of sadness or a disinterest in activities, leading to considerable disruption in daily activities.

Emotional Nurturance

The act of supporting and fostering a person’s emotional development and well-being.