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
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Author:Amos Gilat
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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.
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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