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lesson_10.2.2_version_1.6_student

# we now use sample means to estimate a population

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Unformatted text preview: times the estimated standard error for sample proportions. The sample proportion is a point estimate, and the resulting confidence interval (an interval estimate) is ! − ! , ! + ! . We now use sample means to estimate a population mean. Since we use s to approximate σ, the statistic, !−! ! = ! , ! varies according to the T ­distribution with n – 1 degrees of freedom. To compute the margin of error in a ! sample mean, we multiply a T critical value (not Z) by the estimated standard error for sample means, . ! © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY™ STUDENT HANDOUT | 2 Lesson 10.2.2 Confidence Intervals for a Population Mean The margin of error in a sample mean is given by ! = !! ⋅ ! ! . The sample mean is the point estimate for the population mean, so the resulting confidence interval is ! − ! , ! + ! . Confidence intervals for the population mean can also be written...
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