Question

3. 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 40.6 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 sufficient evidence to support the physician’s claim at the 95% level of confidence?

Answer 1

To calculate 95% confidence interval, we need to find tc (Critical t value) as population standard deviation is not given

For 95% CI and dof = 15-1 = 14, tc = 2.145

Confidence Interval is given by

Since the 95% confidence interval minimum value (37.277) is greater than the average of all adults (36.7), there is sufficient evidence to support the physician’s claim maximal volume oxygen uptake is greater than the average of all adults