# Small sample hypothesis test for a population mean

A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 43.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician's claim at a = 0.05?

a) First, identify the alternative and the null hypotheses.

b) Secondly, calculate the critical value and d.f.

c) Next, use the appropriate formula.

d) Finally, decide whether or not to reject the null hypothesis.

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