A bank is opening a new branch in one of neighborhoods. One of factors considered by the bank was whether the average monthly family income (in thousand pesos) in the two neighborhoods differed. From...

Extracted text: A bank is opening a new branch in one of neighborhoods. One of factors considered by the bank was whether the average monthly family income (in thousand pesos) in the two neighborhoods differed. From census records, the bank drew two random samples of 100 families each and obtained the following information: Sample A: x = 10,800; ơ = 300; n = 100 %3D %3D Sample B: x2 = 10,300; 02 = 400; n2 = 100 %3D %3D %3D The bank claims that the two neighborhoods have the same mean income. Is the bank correct? Test the hypothesis using a = 0.10.