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 estimated standard error of the difference between the 2 samplemeans? Round to the nearest hundredth.

Gotham: XG=35 months, S2G=900 Metropolis: XM=50 months, S2M=1050

A.

8.01

B.

5.61

C.

16.00

D.

4.06