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?

		90 out of 100 fish in the sample have lengths between 40 cm and 45 cm.
		There is a 90% chance that the mean length of largemouth bass in this lake lies 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.
		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

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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