**Problem Statement: Estimating Sample Size for Hospital Stay Analysis**A doctor aims to determine the average length of hospital stay for COVID-19 patients, ensuring a 98% confidence level in the results. The goal is to figure out the necessary sample size so that the margin of error does not exceed 2 days. The standard deviation of the population is assumed to be \( \sigma = 6 \) days. **Solution Approach:**To solve this problem, you will need to use the formula for determining the sample size \( n \) for estimating a mean with a given margin of error \( E \):\[n = \left( \frac{Z \cdot \sigma}{E} \right)^2\]Where:- \( Z \) is the Z-value corresponding to the desired confidence level (98% confidence level).- \( \sigma \) is the population standard deviation (6 days).- \( E \) is the margin of error (2 days).**Steps:**1. Determine the Z-value for a 98% confidence interval.2. Substitute the values into the formula to calculate \( n \).By following these steps, you will compute the appropriate sample size required to estimate the mean hospital stay length accurately within the specified margin of error.

Name: **Problem Statement: Estimating Sample Size for Hospital Stay Analysi
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Problem Statement: Estimating Sample Size for Hospital Stay Analysis**A doctor aims to determine the average length of hospital stay for COVID-19 patients, ensuring a 98% confidence level in the results. The goal is to figure out the necessary sam