**Sample Size Calculation for Estimating Mean (μ)**To find the minimum sample size $ n $ needed to estimate the mean $ \mu $, use the following information and formula with given values:**Given Values:**- Confidence Level (c): 0.98- Standard Deviation ($ \sigma $): 6.2- Margin of Error (E): 2**Assumptions:**- A preliminary sample has at least 30 members.**Calculation:**\[ n = \left( \left( \frac{Z \cdot \sigma}{E} \right)^2 \right) \]Here, $ Z $ corresponds to the z-score for the given confidence level c.**Instructions:**- Round up $ n $ to the nearest whole number.- Enter your answer in the provided answer box.

Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c=0.98, o = 6.2, and E=2 Assume that a preliminary sample has at least 30 members. (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=0.98, o = 6.2, and E=2 Assume that a preliminary sample has at least 30 members. (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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**Sample Size Calculation for Estimating Mean (μ)**

To find the minimum sample size $ n $ needed to estimate the mean $ \mu $, use the following information and formula with given values:

**Given Values:**
- Confidence Level (c): 0.98
- Standard Deviation ($ \sigma $): 6.2
- Margin of Error (E): 2

**Assumptions:**
- A preliminary sample has at least 30 members.

**Calculation:**

\[ n = \left( \left( \frac{Z \cdot \sigma}{E} \right)^2 \right) \]

Here, $ Z $ corresponds to the z-score for the given confidence level c.

**Instructions:**
- Round up $ n $ to the nearest whole number.
- Enter your answer in the provided answer box.

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