**Estimating Sample Size for Bacterial Lifespan Study**You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.8 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.65 hours at a 94% level of confidence.**Objective:**Determine the sample size needed to achieve a 0.65-hour margin of error.**Instructions:**1. **Calculate the z-value:** - Determine the z-value corresponding to a 94% confidence level.2. **Compute the sample size (n), unrounded:** - Use the formula for sample size calculation in your study: \[ n = \left( \frac{z \times \sigma}{E} \right)^2 \] where: - \( z \) = Z-value for 94% confidence - \( \sigma \) = Standard deviation (5.8 hours) - \( E \) = Margin of error (0.65 hours)3. **Round the sample size appropriately:** - Round the calculated sample size to get the nearest whole number, as a sample size must be a whole number.Note: Ensure to round your z-value to 2 decimal places in your calculations.

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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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What sample size should you gather to achieve a 0.65 hour margin of error? Round your z-value to 2 decimals in your calculation.