What percentage of hospitals provide at least some charity care? This 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):

(a) Use a calculator with mean and sample standard deviation keys to verify that ‰ˆ 62.3% and s ‰ˆ 8.0%.
(b) Find a 90% confidence interval for the population average μ of the percentage of hospitals providing at least some charity care.
(c) What does the confidence interval mean in the context of this problem?

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57.1 56.2 53.0 66.1 59.0 64.7 70.1 64.7 53.5 78.2