![To construct a confidence interval for the difference between two population means u, - 2, use the formula shown below when both population standard deviations<br>are known, and either both populations are normally distributed or both n, 2 30 and n, 2 30. Also, the samples must be randomly selected and independent.<br><Hy -H2< (X1 - X2)<br>+z.<br>n1<br>n2<br>n2<br>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<br>the difference between the mean annual salaries.<br>x, = $102,480, n, = 35, and o, = $9155; x, = $85,700, n, = 38, and o, = $9180<br>Complete the 95% confidence interval for u, - H, below.<br>$<H1 -H2 <$]<br>(Round to the nearest dollar as needed.)<br>](https://s3.us-east-1.amazonaws.com/storage.unifolks.com/qimg-008/008_64lv50-iuajhgax.png)
Extracted text: To construct a confidence interval for the difference between two population means u, - 2, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n, 2 30 and n, 2 30. Also, the samples must be randomly selected and independent.
< (x1="" -="" x2)="" +z.="" n1="" n2="" n2="" 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.="" x,="$102,480," n,="35," and="" o,="$9155;" x,="$85,700," n,="38," and="" o,="$9180" complete="" the="" 95%="" confidence="" interval="" for="" u,="" -="" h,="" below.="">