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 information is obtained (units in percentage of hospitals providing at least some charity care): 57 55.8 53 66.5 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.) (b) Find a 90% confidence interval for the population average ? of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.) ower limit 1.99 upper limit 2.69

Explanation / Answer

mean=62.25

standard deviation=8.08

90% confidence interval for population average:(since z value for 90% C.I is 1.645)

upper limit=(sample mean)+(1.645)*(standard deviation)/?n

lower limit=(sample mean)-(1.645)*(standard deviation)/?n

Therefore, upper limit=66.45

lower limit=58.04

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