What percentage of hospitals provide at least some charity care? Based on a rand

Question

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following is information obtained (units in percentage of hospitals providing at least some charity care): 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.) (b) Find a 90% confidence interval for the population average mu of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.)

Explanation / Answer

a ) x bar = 62.21

standard deviation = 8.08

b) for 90% confidence interval z value = 1.645

CI = mean + / - z * (s / sqrt(n))

= 62.21 + / - 1.645 * (8.08/sqrt(10))

= (58.01 , 66.41)

Lower limit = 58.01

Upper limit = 66.41

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