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):

57.4

55.8

53.3

65.9

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.)

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	%

Answer 1

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