SOLUTION: 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)

Algebra ->  Finance -> SOLUTION: 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)       Log On


   

Question 1165764: 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 = 0.05?
variable of interest:
Type of test:
Test statistics:
identify the alternative and the null
calculate the critical value and
use the appropriate formula.
decide whether or not to reject the null hypothesis.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a one-way t-test
test stat is a t(0.975, df=14)= (xbar-mean)/s/sqrt(n)
Ho: means are the same or the joggers are less
Ha: Joggers are more
critical value t > 1.761
t=(43.6-36.7)/6/sqrt(15)
=6.9*sqrt(15)/6=4.45
Reject Ho. Maximal oxygen uptake by joggers is more than the average of all adults.
p-value=0.0003