Question: What percentage of hospitals provides at least some charity care? 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

Use a calculator with mean and sample standard deviation keys to verify that \(\bar{X}\) = 62.3% and s = 8.0%. Find a 90% confidence interval for the population average of m of the percentage of hospitals providing at least some charity care.