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, SG = 900 Metropolis: XM = 50 months, SM² = 1050 Which of the following represents the relevant hypotheses tested by the real estate company? O a. Ho: HG - HMSOVS H1: HG - HM>0 O DHO XG -XM20vs H,: X6 - XM<0 OC. Ho: HG - HM20vs H1: HG - HM<0 O d. Ho: HG - HM =0 vs H1: HG -HM#0 e. None of the above

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