To construct a confidence interval for the difference between two population means μ1−μ2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n 1 ≥30 and n2 ≥30. Also, the samples must be randomly selected and independent. The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries x1=$105,020 1 n 1=44 and σ1equals=$909 x 2 = 85,260, n 2 = 35, and sigma 2=$9110 Complete the 95% confidence interval for 2μ1−μ2 below.
To construct a confidence interval for the difference between two population means μ1−μ2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n 1 ≥30 and n2 ≥30. Also, the samples must be randomly selected and independent. The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries x1=$105,020 1 n 1=44 and σ1equals=$909 x 2 = 85,260, n 2 = 35, and sigma 2=$9110 Complete the 95% confidence interval for 2μ1−μ2 below.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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To construct a confidence interval for the difference between two population means
μ1−μ2,
use the formula shown below when both population standard deviations are known, and either both populations are
n 1 ≥30 and n2 ≥30.
Also, the samples must be randomly selected and independent.
The
x1=$105,020 1
n 1=44
and
σ1equals=$909
x 2 = 85,260,
n 2 = 35,
and
sigma 2=$9110
Complete the 95% confidence interval for
2μ1−μ2
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