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)

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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)   (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

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