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): 57.3 56.1 52.9 65.9 59.0 64.7 70.1 64.7 53.5 78.2 LAUSE 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 of the percentage of hospitals providing at least some charity care. (Round your answers lower limit upper limit one decimal place.)
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): 57.3 56.1 52.9 65.9 59.0 64.7 70.1 64.7 53.5 78.2 LAUSE 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 of the percentage of hospitals providing at least some charity care. (Round your answers lower limit upper limit one decimal place.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 4E
Related questions
Question
Transcribed Image Text:### Hospital Charity Care Percentage Analysis
In this exercise, we aim to determine the percentage of hospitals that provide at least some charity care. Using a random sample of hospital reports from eastern states, the data captured is the percentage of hospitals providing charity care. The obtained percentages are as follows:
- 57.3%
- 56.1%
- 52.9%
- 65.9%
- 59.0%
- 64.7%
- 70.1%
- 64.7%
- 53.5%
- 78.2%
#### Task Overview:
(a) **Calculating Sample Mean and Standard Deviation:**
- **Objective**: Use a calculator to determine the sample mean percentage (\( \bar{x} \)) and the sample standard deviation (\( s \)).
- **Instructions**: Round your answers to four decimal places.
(b) **Finding a 90% Confidence Interval:**
- **Objective**: Calculate a 90% confidence interval for the population average (\( \mu \)) of the percentage of hospitals providing at least some charity care.
- **Instructions**: Round your answers to one decimal place.
This analysis assumes that the population of \( x \) values follows an approximately normal distribution. Use statistical methods such as calculating the sample mean, standard deviation, and employing the appropriate confidence interval formulas to complete this task.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt