What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):
57.4 56.5 52.8 65.5 59.0 64.7 70.1 64.7 53.5 78.2
Assume that the population of x values has an approximately normal distribution.(a) Use a calculator with mean and sample standard deviation keys to find the sample mean percentage x and the sample standard deviation s. (Round your answers to one decimal place.)
x = ______%
s = ______%
(b) Find a 90% confidence interval for the population average μ of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.)lower limit _____ %
upper limit _______ %