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.

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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 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.
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