**Example Problem: Determining Minimum Sample Size****Objective:** Find the minimum sample size $ n $ needed to estimate the population mean ($ \mu $) given specific confidence level and error margins.**Given:**- Confidence level ($ c $): 0.90- Population standard deviation ($ \sigma $): 9.1- Margin of error ($ E $): 1**Instructions:** Assume a preliminary sample has at least 30 members.**Solution Formula:**The formula to calculate the minimum sample size needed is:\[n = \left( \frac{Z \cdot \sigma}{E} \right)^2\]- **Confidence Level ($ c $)**: This represents the degree of certainty that the true parameter ($ \mu $) lies within the specified interval. A typical $ Z $-value for $ c = 0.90 $ can be found using a standard normal distribution table.- **$ \sigma $**: The population standard deviation.- **$ E $**: The desired margin of error, which indicates the maximum acceptable difference between the sample estimate and the true population parameter.**Calculate and Round:**After using the above formula and calculating, remember to round up to the nearest whole number.**Calculation Process:**1. Determine the $ Z $-value for $ c = 0.90 $.2. Substitute $ Z $, $ \sigma = 9.1 $, and $ E = 1 $ into the formula.3. Calculate $ n $.4. Round $ n $ to the nearest whole number.**Output:**Fill in the calculated $ n $ as follows:\[ n = \Box \] (Round up to the nearest whole number.)

Find the minimum sample size n needed to estimate u for the given values of c, o, and E c = 0.90, o = 9.1, and E= 1 Assume that a preliminary sample has at least 30 members. %3D (Round up to the nearest whole number.)

Find the minimum sample size n needed to estimate u for the given values of c, o, and E c = 0.90, o = 9.1, and E= 1 Assume that a preliminary sample has at least 30 members. %3D (Round up to the nearest whole number.)

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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