Things to note
The mean time it takes a man to run a mile is known to be 25minutes.
A running company has developed a shoe that claim providesfaster times time. Scientists tested the new shoe on a sample of 25individuals.
For this sample, the mean mile time was 20 mins.
The population standard deviation for the mile is known to be 7minutes.
A level of significance of .01 is to be used to test if the newshoe provides faster mile times
Mean = 25 min
Sample size 25
Sample average time taken 20 minutes
Standard deviation 7 minutes.
A level of significance of .01
1.           State the null and alternative hypotheses
2.           Determine the critical value (cut-off point) for the test.
3.           a. Draw a diagram of the sampling distribution used to perform thetest.
b. Label the horizontal axis of yourdiagram.  Â
c. Locate the critical value on yourdiagram.   Â
