Question

We are interested in the mean length of adult largemouth bass in a lake. We collect 100 of these fish randomly and measure their lengths (in cm). At the end we compute a 90% confidence interval of (40, 45) for the mean. What can we conclude?

		There is a 90% chance that the mean length of largemouth bass in this lake lies between 40 cm and 45 cm.
		There is a 90% chance that a random largemouth bass in this lake has a length more than 40 cm but less than 45 cm.
		90 out of 100 fish in the sample have lengths between 40 cm and 45 cm.
		If we were to repeat this experiment many times, 90% of the times we would find a confidence interval that contains the mean length of the largemouth population in this lake.

Answer 1

If we were to repeat this experiment many times, 90% of the times we would find a confidence interval that contains the mean length of the largemouth population in this lake.

[ explanation:-

90% confidence interval of (40, 45)

if we repeat the experiment 100 times and construct confidence intervals each time , then 90 of the confidence intervals so formed will contain the true mean length of the large mouth population in the lake.]

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