What is the test statistic for the difference between sample​ means?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the accompanying data on length of residence in current homes. What is the test statistic for the difference between sample​ means? Round to the nearest hundredth.

 

Gotham:
Xbarg

=35 months;
S^2g


=900
Metropolis:
Xm


=50 months;
S^2m


=1050 

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