A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults.

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A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults. A random sample of 15 joggers has a mean of 40.6 milliliters per kilogram \((\mathrm{ml} / \mathrm{kg})\) and a standard deviation of \(6 \mathrm{ml} / \mathrm{kg}\). If the average of all adults is \(36.7 \mathrm{ml} / \mathrm{kg}\), is there enough evidence to support the physician's claim at \(\alpha=0.05\) ? Assume the variable is normally distributed.

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