Acsume that the population of x values has an approximately normal distribution. (a) ise a calculator with mean and sample standard deviation keys to find the sample mean percentagexand the sample standard devation 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 anwers to one decimal place.) lower limit upper limit
Acsume that the population of x values has an approximately normal distribution. (a) ise a calculator with mean and sample standard deviation keys to find the sample mean percentagexand the sample standard devation 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 anwers to one decimal place.) lower limit upper limit
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Questions A and B please!
![### Statistical Analysis of Charity Care in Hospitals
**Problem Statement:**
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):
\[ 57.5, 55.5, 53.5, 65.7, 59.0, 64.7, 70.1, 64.7, 53.5, 78.2 \]
**Instructions:**
1. **Objective:**
- Calculate the mean and standard deviation of the sample data.
- Determine a 90% confidence interval for the population percentage of hospitals providing at least some charity care.
2. **Steps:**
(a) **Calculate Mean and Standard Deviation:**
- Use a calculator with mean and sample standard deviation functions to find:
- Mean percentage (\(\overline{x}\))
- Sample standard deviation (\(s\))
(Round your answers to four decimal places.)
**Input Fields:**
- \(\overline{x} =\) _____ %
- \(s =\) _____ %
(b) **Determine the 90% Confidence Interval:**
- Calculate the 90% confidence interval for the population average (\(\mu\)) of the percentage of hospitals providing at least some charity care.
(Round your answers to one decimal place.)
**Input Fields:**
- Lower limit: _____ %
- Upper limit: _____ %
**Tool Used:**
- **SALT Calculator:** A tool to assist in statistical calculations, ensuring more accurate and efficient data analysis.
This exercise will guide learners in performing statistical analyses using real-world data, building skills in calculating descriptive statistics and constructing confidence intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F890db880-490b-4ebd-8134-9ade3709eb7e%2Fce0fa59f-b28b-4142-a61b-61f13b1844cc%2F76j9o4_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Charity Care in Hospitals
**Problem Statement:**
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):
\[ 57.5, 55.5, 53.5, 65.7, 59.0, 64.7, 70.1, 64.7, 53.5, 78.2 \]
**Instructions:**
1. **Objective:**
- Calculate the mean and standard deviation of the sample data.
- Determine a 90% confidence interval for the population percentage of hospitals providing at least some charity care.
2. **Steps:**
(a) **Calculate Mean and Standard Deviation:**
- Use a calculator with mean and sample standard deviation functions to find:
- Mean percentage (\(\overline{x}\))
- Sample standard deviation (\(s\))
(Round your answers to four decimal places.)
**Input Fields:**
- \(\overline{x} =\) _____ %
- \(s =\) _____ %
(b) **Determine the 90% Confidence Interval:**
- Calculate the 90% confidence interval for the population average (\(\mu\)) of the percentage of hospitals providing at least some charity care.
(Round your answers to one decimal place.)
**Input Fields:**
- Lower limit: _____ %
- Upper limit: _____ %
**Tool Used:**
- **SALT Calculator:** A tool to assist in statistical calculations, ensuring more accurate and efficient data analysis.
This exercise will guide learners in performing statistical analyses using real-world data, building skills in calculating descriptive statistics and constructing confidence intervals.
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