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 n1≥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=​$102,710​, n1=38​, and σ1=​$9305​; x2=​$85,610​, n2=45​, and σ2=​$9320

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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 n1≥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=​$102,710​,
n1=38​,
and
σ1=​$9305​;
x2=​$85,610​,
n2=45​,
and
σ2=​$9320
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