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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