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To construct a confidence interval for the difference between two population means u1 - #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 ną 2 30. Also, the samples must be randomly selected and independent. (*1 -2) -ze n1 n2 °z+ (x- lx) > Z1 - hrl> n1 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; x2 = $85,700, n2 = 38, and o2 = $9180 .... Complete the 95% confidence interval for Hy - H2 below. ]

To construct a confidence interval for the difference between two population means u1 - #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 ną 2 30. Also, the samples must be randomly selected and independent. (*1 -2) -ze n1 n2 °z+ (x- lx) > Z1 - hrl> n1 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; x2 = $85,700, n2 = 38, and o2 = $9180 .... Complete the 95% confidence interval for Hy - H2 below. ]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 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. <Hy -H2< (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. $<H1 -H2 <$] (Round to the nearest dollar as needed.)
Transcribed Image 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. <Hy -H2< (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. $<H1 -H2 <$] (Round to the nearest dollar as needed.)
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