The skulls of most mammals are symmetrical, but there are exceptions,such as odontocete whales. This is part of the normal growth pattern found throughout the taxa. Sea otters also have been noted to have naturally occurring asymmetrical skulls, with one side of the skull larger than the other. A study of a group of sea otters reported the results from measuring cranial asymmetry in 387 sea otter skulls. Each sea otter skull was categorized by age: up, juvenile, or adult. The results were as follows.
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Age Class Left Side Right Side Sides Equal Total Pups 11 3 1 15 Juveniles 61 14 21 96 Adults 86 82 108 276 a) Set up a 95% confidence interval for the population proportion of adults whose saggital crest deflects to the left side. Is this a good interval? b) Combining pups and juveniles, form a 88% confidence interval for the population proportion of non-adults whose saggital crest deflects to the left side. Is this a good interval?