preliminary sample of 25 bacteria reveals a sample mean of = 74 standard deviation of s = 4.2 hours. You would like to estimate the for this species of bacteria to within a margin of error of 0.6 hours at confidence. What sample size should you gather to achieve a 0.6 hour margin of answer up to the nearest whole number. n = bacteria

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 \( \bar{x} = 74 \) hours with a standard deviation of \( s = 4.2 \) hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 98% level of confidence.

What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number.

\( n = \) _____ 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 \( \bar{x} = 74 \) hours with a standard deviation of \( s = 4.2 \) hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number. \( n = \) _____ bacteria
Expert Solution
Step 1: Given that

Margin of error=E=0.6

Standard deviation s=4.2

Here we estimated standard deviation=4.2

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