A real estate company is interested in testing whether the mean time that famili

Question

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 following data on length of residence in current homes.

Gotham: XG = 35 months, SG2 = 900 Metropolis: XM= 50 months, SM2 = 1050

Referring to Scenario 10-3, what is the estimated standard error of the difference between the 2 sample means? A) 4.06 B)16.00 C) 5.61 D) 8.01

Explanation / Answer

here std error of difference =(Sg2/n1+Sm2/n2)1/2 =(900/100 +1050/150)1/2 =4

hence option A is correct

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