**Determining Sample Size for Estimating Population Mean (μ)**To find the minimum sample size \( n \) required to estimate the population mean \( \mu \) for the given values of confidence level ( \( c \) ), population standard deviation ( \( \sigma \) ), and margin of error ( \( E \) ), use the following information:**Given:**- Confidence level, \( c = 0.98 \)- Population standard deviation, \( \sigma = 9.6 \)- Margin of error, \( E = 2 \)**Instruction:**Assume that a preliminary sample has at least 30 members.**Formula:**\( n = \left( \frac{ z \sigma }{ E } \right)^2 \)To find the \( z \)-score corresponding to the confidence level, and then use it to compute the sample size:1. **Identify \( z \)-score:** For a \( 98\% \) confidence level, the corresponding \( z \)-score can be found using statistical tables or computational tools.2. **Calculate sample size (\( n \)):** Substitute the given values into the formula and round up to the nearest whole number.**Note:** Round up to the nearest whole number to ensure the sample size is adequate for the desired level of confidence.\[n = \left( \frac{ z \sigma }{ E } \right)^2\](Here, the actual calculation steps and the \( z \)-score would typically be provided for instructional purposes.)**Result:**\[ n = \text{(Insert the computed value here)} \]This calculation helps ensure that the sample size is sufficient to estimate the population mean with the specified level of confidence and margin of error.

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Math

Statistics

Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c= 0.98, o = 9.6, and E= 2

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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