How Big Are Gribbles? Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel. A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the mean length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval. Interpret the confidence interval in context. What do we have to assume about the sample in order to have confidence in our estimate? 1) What are the upper and lower bounds for this confidence interval?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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How Big Are Gribbles? Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel. A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the mean length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval. Interpret the confidence interval in context. What do we have to assume about the sample in order to have confidence in our estimate? 1) What are the upper and lower bounds for this confidence interval?
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