# Homework 1234567891011

**Question description**

A psychologist is studying the self-image of
smokers, which she measures by the selfimage (SI) score from a personality
inventory. She would like to estimate
the mean SI score µ for the population of all smokers. She plans to take a random sample of SI
scores for smokers and estimate µ via this sample. Assuming that the standard deviation of SI
scores of the population of all smokers is 85, what is the minimum sample size
needed for the psychologist to be 99% confident that her estimate is within 15
of µ?

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