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): 56.5 56.1 53.3 66.3 59.0 64.7 70.1 64.7 53.5 78.2 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean percentage xbar and the sample standard deviation s. (Round your answers to four decimal places.) (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 _______
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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):
56.5 56.1 53.3 66.3 59.0 64.7 70.1 64.7 53.5 78.2
![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):
56.5
56.1
53.3
66.3
59.0
64.7
70.1
64.7
53.5
78.2
n 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.)
x =
%
S =
%
(b) Find a 90% confidence interval for the population average u of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.)
lower limit
%
upper limit
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18789b10-6ce2-4bf3-863c-9e8356aeaed6%2F1ed25698-a227-49c0-b362-26d99b5e758d%2Fb2pf4iv_processed.png&w=3840&q=75)
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