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Suppose that a census has been conducted in a community located in a large metropolitan setting....

Suppose that a census has been conducted in a community located in a large metropolitan setting. The purpose is to assess the degree of satisfaction/dissatisfaction of community members with their access to medical care. The scale used in the census produces scores ranging from zero to 100 with the lower scores indicative of less satisfaction. The average satisfaction level for this community is 47.4 which is interpreted as a pronounced level of dissatisfaction. To check the validity of the census an evaluator randomly selects 100 community members to survey and found that the average satisfaction level was 52.8 with a standard deviation of 24.7. Is there a significant difference in the satisfaction/dissatisfaction level from the census?

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