What percentage of hospitals provide at least some charity care? The following

problem is based on information taken from State Health Care Data. Based on a

random sample of hospital reports, the following information was obtained:

57.1 56.2 53.0 66.1 59.0 64.7 70.1 64.7 53.5 78.2

(i) Verify that the sample mean and the sample standard deviation are respectively X = 62.3% and s = 8.0%.

(ii) Find a 90% confidence interval for the population average of the percentage

of hospitals providing at least some charity care.