3 In a large city the distribution of incomes per family has a standard deviation of $5200. (i) For a random sample of 400 families, what is the probability that the sample mean income per family is within $500 of the actual mean income per family? (ii) Given that the sample mean income was, in fact, $8300, calculate a 95% confidence interval for the actual mean income per family.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter2: Solving Equations
Section2.1: Properties And Operations
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3 (i) 0.9456
(ii) $7790–$8810
Transcribed Image Text:3 (i) 0.9456 (ii) $7790–$8810
3 In a large city the distribution of incomes per family has a standard deviation
of $5200.
(i) For a random sample of 400 families, what is the probability that the
sample mean income per family is within $500 of the actual mean income
per family?
(ii) Given that the sample mean income was, in fact, $8300, calculate a 95%
confidence interval for the actual mean income per family.
(MEL adabtad
Transcribed Image Text:3 In a large city the distribution of incomes per family has a standard deviation of $5200. (i) For a random sample of 400 families, what is the probability that the sample mean income per family is within $500 of the actual mean income per family? (ii) Given that the sample mean income was, in fact, $8300, calculate a 95% confidence interval for the actual mean income per family. (MEL adabtad
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