Question

# What percentage of hospitals provide at least some charity care? Based on a random sample of...

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 56.3 53 65.7 59 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 bar = ? %

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 + ? %

a. %

Create the following table.

 data data-mean (data - mean)2 57.4 -4.86 23.6196 56.3 -5.96 35.5216 53 -9.26 85.7476 65.7 3.44 11.8336 59.0 -3.26 10.6276 64.7 2.44 5.9536 70.1 7.84 61.4656 64.7 2.44 5.9536 53.5 -8.76 76.7376 78.2 15.94 254.0836

Find the sum of numbers in the last column to get. So standard deviation is %

b. t value for 9 df is TINV(0.1,9)=1.8

So Margin of Error is Hence CI is So lower limit is 57.7%

Upper limit is 66.9%

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