A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 21 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 8.8, 7, 9.8, 8.4, 7.8, 8, 9.6, 7, 8.2, 8, 8.6, 8.6, 8.7, 7.3, 8.6, 7.3, 8.3, 8.6, 8.9, 7.6, 7.9 Assuming the population standard deviation is a = 0.6, construct a 99% confidence interval for the average time it takes this species of bacteria to divide. H= 8|2 2을 = Margin of Error: E =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide.
She watches 21 cells through a microscope and times how long it takes them to divide. She obtains
the following data, in hours:
8.8, 7, 9.8, 8.4, 7.8, 8, 9.6, 7, 8.2, 8, 8.6, 8.6, 8.7, 7.3, 8.6, 7.3, 8.3, 8.6, 8.9, 7.6, 7.9
Assuming the population standard deviation is o = 0.6, construct a 99% confidence interval for the
average time it takes this species of bacteria to divide.
x =
82
=
Margin of Error: E =
We are 99% confident that this species of bacteria takes, on average, between
hours and
hours to divide.
Transcribed Image Text:A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 21 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 8.8, 7, 9.8, 8.4, 7.8, 8, 9.6, 7, 8.2, 8, 8.6, 8.6, 8.7, 7.3, 8.6, 7.3, 8.3, 8.6, 8.9, 7.6, 7.9 Assuming the population standard deviation is o = 0.6, construct a 99% confidence interval for the average time it takes this species of bacteria to divide. x = 82 = Margin of Error: E = We are 99% confident that this species of bacteria takes, on average, between hours and hours to divide.
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