588 is the margin of error population mean known

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

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