You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of ī = 78 hours. It is known that lifespans have standard deviation of o = 4.6 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 90% 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. bacteria

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25
bacteria reveals a sample mean of ī = 78 hours. It is known that lifespans have standard deviation of
o = 4.6 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 90% 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.
bacteria
Transcribed Image Text:You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of ī = 78 hours. It is known that lifespans have standard deviation of o = 4.6 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 90% 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. bacteria
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