You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of 68 hours with a standard deviation of s= 6.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number. n= bacteria
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of 68 hours with a standard deviation of s= 6.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest 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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![### Estimating Sample Size for Bacterial Lifespan Study
**Context:**
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria shows:
- Sample mean (\( \bar{x} \)) = 68 hours
- Standard deviation (\( s \)) = 6.2 hours
You want to estimate the mean lifespan of this bacterial species to within a margin of error of 0.4 hours with a 98% level of confidence.
**Question:**
What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.
**Solution Format:**
- \( n = \) [Input box] bacteria
**Help Options:**
- Video explanation
- Option to message the instructor
[**Submit Question** Button]
There are no graphs or diagrams in this text. It involves a sample size calculation problem based on given statistical parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16eaad05-c857-4f7c-933f-0b1cc2121bed%2F86e63682-5957-4a32-acc4-a467463ba6bb%2Ffv3yz2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Estimating Sample Size for Bacterial Lifespan Study
**Context:**
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria shows:
- Sample mean (\( \bar{x} \)) = 68 hours
- Standard deviation (\( s \)) = 6.2 hours
You want to estimate the mean lifespan of this bacterial species to within a margin of error of 0.4 hours with a 98% level of confidence.
**Question:**
What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.
**Solution Format:**
- \( n = \) [Input box] bacteria
**Help Options:**
- Video explanation
- Option to message the instructor
[**Submit Question** Button]
There are no graphs or diagrams in this text. It involves a sample size calculation problem based on given statistical parameters.
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