Question

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 enough evidence to support the physician’s claim at alpha equal to 0.05? Assume the variable is normally distributed.                                             

a. Support the claim b. Do not support the claim

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 36.7

H_a : > 36.7

Test statistic = t

= ( - ) / s / n

= (40.6 - 36.7) / 6 / 15

= 2.517

Test statistic = 2.517  

df = 14

P-value = 0.0123

= 0.05

P-value <

Reject the null hypothesis .

There is enough evidence to conclude that the physician’s claim at alpha equal to 0.05 .

a. Support the claim