You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 25 bacteria reveals a sample mean of ¯x=70x¯=70 hours with a standard deviation of s=6.4s=6.4  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.55 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.55 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
icon
Related questions
Question

You are a researcher studying the lifespan of a certain species of bacteria.  A preliminary sample of 25 bacteria reveals a sample mean of ¯x=70x¯=70 hours with a standard deviation of s=6.4s=6.4  hours.  You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.55 hours at a 98% level of confidence.

What sample size should you gather to achieve a 0.55 hour margin of error? Round your answer up to the nearest whole number.

n =   bacteria

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman