A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 48 families from a rural area and finds that they have an average income of $67987 with a population standard deviation of $666. He then selects 51 families from a urban area and finds that they have an average income of $69455 with a population standard deviation of $776. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2.

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