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): X = 57.1 55.9 52.7 66.5 59.0 64.7 70.1 64.7 S = USE SALT 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 four decimal places.) 53.5 % % 78.2 (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.) lower limit % upper limit %

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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):
X
x =
57.1 55.9 52.7 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 four decimal
places.)
S =
USE SALT
%
%
(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.)
lower limit
%
upper limit
%
Transcribed Image Text: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): X x = 57.1 55.9 52.7 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 four decimal places.) S = USE SALT % % (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.) lower limit % upper limit %
Expert Solution
Step 1: Introducing the given information

Given Information:

 Hospital reports from eastern states are:

57.1, 55.9,52.7,66.5,59.0,64.7,70.1,64.7,53.5,78.2

Sample size (n) = 10


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