# A study shows that the 90% con

A study shows that the 90% confidence interval of the mean butterfly wing area (cm2 ) is 32.81 ± 1.71. The sample size of the study is 20. Which of the following is the correct interpretation for this confidence interval?

A. 90% of population means will fall between 31.1 and 34.52 cm2 .

B. There is a 95% probability that a butterfly selected from the sample has a wing area between 31.1 and 34.52 cm2 .

C. If we take many, many additional random samples of size 20, and from each computed a 90% confidence interval for µ, approximately 90% of these intervals would contain µ. If our confidence interval is one of these 90% intervals, then our estimate that µ lies between 31.1 and 34.52 cm2 will be correct.

D. Both A and C.

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