The shape of wings of birds and aircraft is described by their aspect ratio - the ratio of the wing's length to its width. A long and narrow wing has a high aspect ratio and is better for soaring at high speeds, while a shorter or broader wing has a lower aspect ratio and is better for rapid takeoffs. Aspect ratios of bird wings typically range from 1.5 to 18, depending on the species.
A researcher wishes to determine the average aspect ratio of birds in a certain area. They manage to collect 13 randomly selected birds from the area, and measure their aspect ratios. The mean aspect ratio of these 13 birds is 4.6, and the standard deviation is 1.2.
Does the sample meet the necessary requirements to be able to calculate a confidence interval estimate of the mean aspect ratio of all birds in the area?
Group of answer choices
Not enough information is given to be sure. We would need to verify that aspect ratios of birds in the area are normally distributed.
No. The stated information shows that the sample is not valid for calculating a confidence interval, regardless of the distribution of wing aspect ratios.
Yes. The stated information is sufficient to justify our methods of calculating a confidence interval, regardless of the distribution of wing aspect ratios.
