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 =

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A researcher aims to determine the average time it takes for a specific species of bacteria to divide. By observing 21 cells under a microscope, she records the following division times 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

Given that the population standard deviation is \( \sigma = 0.6 \), she constructs a 99% confidence interval for the average time it takes this species of bacteria to divide.

Required calculations include:

- \( \bar{x} \) (Sample Mean):
- \( \frac{\alpha}{2} \) (Significance Level):
- \( z_{\frac{\alpha}{2}} \) (Z-Score for Confidence Level):
- Margin of Error \( E \):

The conclusion states: "We are 99% confident that this species of bacteria takes, on average, between [lower bound] and [upper bound] hours to divide."

Details regarding the calculations and further explanations are accessible for educational purposes on the website.
Transcribed Image Text:A researcher aims to determine the average time it takes for a specific species of bacteria to divide. By observing 21 cells under a microscope, she records the following division times 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 Given that the population standard deviation is \( \sigma = 0.6 \), she constructs a 99% confidence interval for the average time it takes this species of bacteria to divide. Required calculations include: - \( \bar{x} \) (Sample Mean): - \( \frac{\alpha}{2} \) (Significance Level): - \( z_{\frac{\alpha}{2}} \) (Z-Score for Confidence Level): - Margin of Error \( E \): The conclusion states: "We are 99% confident that this species of bacteria takes, on average, between [lower bound] and [upper bound] hours to divide." Details regarding the calculations and further explanations are accessible for educational purposes on the website.
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