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7) In order to answer the question "What percentage of hospitals provide at least some charity...

7) In order to answer the question "What percentage of hospitals provide at least some charity care?", the following problem is based on information taken from State Health Care Data: Utilization, Spending, and Characteristics (American Medical Association). Based on a random sample of hospital reports from eastern states, the following information was obtained (units in percentage of hospitals providing at least some charity care):

57.1 56.2 53.0 66.1 59.0 64.7 70.1 64.7 53.5 78.2

What is the lower bound for a 95% confidence interval for the population average μ of the percentage of hospitals providing at least some charity care, assuming that the percentage of hospitals providing at least some charity care is normally distributed? Round to the nearest hundredth.

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