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 55.8 53.3 65.9 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 = % 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 %

Given Data

57.4 55.8 53.3 65.9 59.0 64.7 70.1 64.7 53.5 78.2

a) Mean :

n=10

Sample standard deviation :s :

( one decimal)

b) 90% confidence interval for the population average μ

T value at n-1=10-1=9 df using T table is =1.8331

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