Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n = bacteria
Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n = bacteria
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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![**Understanding Sample Size Determination for Bacterial Lifespan Study**
Yane is a researcher who studies bacteria. They are trying to determine the mean lifespan of a specific bacteria species. It is believed that the standard deviation of their lifespan is σ = 4 hours. They want to estimate the mean lifespan for this species of bacteria with a margin of error of 0.45 hours at a 99% confidence level.
**Question:**
What sample size should they gather to achieve this? Remember, your answer must be a whole number.
**Calculation:**
n = [_____] bacteria
---
This exercise involves determining the appropriate sample size needed to achieve a specified level of statistical confidence and precision. The formula for the sample size calculation in this context is often based on the parameters of the Z-score (for the confidence level), the standard deviation, and the desired margin of error.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85b1df31-b4c9-4507-a595-3e6b607547f1%2Fe3b9664c-d99f-44a4-9f06-178f1de456c5%2Ffsu527_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Sample Size Determination for Bacterial Lifespan Study**
Yane is a researcher who studies bacteria. They are trying to determine the mean lifespan of a specific bacteria species. It is believed that the standard deviation of their lifespan is σ = 4 hours. They want to estimate the mean lifespan for this species of bacteria with a margin of error of 0.45 hours at a 99% confidence level.
**Question:**
What sample size should they gather to achieve this? Remember, your answer must be a whole number.
**Calculation:**
n = [_____] bacteria
---
This exercise involves determining the appropriate sample size needed to achieve a specified level of statistical confidence and precision. The formula for the sample size calculation in this context is often based on the parameters of the Z-score (for the confidence level), the standard deviation, and the desired margin of error.
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