A psychologist is studying the self image of smokers, which she measures by the self-image (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 u via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 95% confident that her estimate is within 12 of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

A First Course in Probability (10th Edition)
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A psychologist is studying the self image of smokers, which she measures by the self-image (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 u via this sample. Assuming
that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 95%
confident that her estimate is within 12 of u?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)
Transcribed Image Text:A psychologist is studying the self image of smokers, which she measures by the self-image (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 u via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 95% confident that her estimate is within 12 of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
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