8.1 Estimation Using Normal

# 588 is the margin of error population mean known

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: − µ If sample mean is known, use to find a range for the population mean: x ± 5.88 xL 2.5% 95% xU 2.5% -1.96 μ 1.96 1.96 = x −µ 3 5.88 = x − µ sampling error—difference between sample mean and population mean Margin of error found by multiplying the standard error by the z value. 5.88 is the margin of error Population Mean: σ Known Interval Estimate of a Population Mean: σ Known x ± margin of error ◦ ◦ Interval Estimation ◦ ◦ is the sample mean α is the level of significance (1–α) is the confidence coefficient zα 2 is the z value providing an area of α/2 in the upper tail of the standard normal probability distribution σ is the population standard deviation σ is the standard error of the sampling distribution of mn ean zα 2 ◦ σ n x ◦ x ± zα 2 σ n is the margin of error Population Mean: σ Known Interval Estimate of a Population Mean: σ Known x ± margin of error ◦ ◦ x is the sample mean α is the level of significance ◦ Interval Estimation ◦ ◦ (1–α) is the confidence coefficient σ n α is the percent remaining in upper and lower tails zα 2 is the z value providing an area of α/2 in the upper tail of the standard normal probability distribution σ is the population standard deviation σ is the standard error of the sampling distribution of mn ean zα 2 ◦ x ± zα 2 σ n is the margin of error Population Mean: σ Known Interval Estimate of a Population Mean: σ Known x ± margin of error ◦ ◦ x is the sample mean α is the level of significance ◦ Interval Estimation ◦ ◦ (1–α) is the confidence coefficient σ n divide α by 2 to find area in each tail zα 2 is the z value providing an area of α/2 in the upper tail of the standard normal probability distribution σ is the population standard deviation σ is the standard error of the sampling distribution of mn ean zα 2 ◦ x ± zα 2 σ n is the margin of error Population Mean: σ Known Interval Estimate of a Population Mean: σ Known x ± zα 2 x ± margin of error ◦ ◦ x is the sample mean α is the level of s...
View Full Document

## This document was uploaded on 03/05/2014.

Ask a homework question - tutors are online