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Things to note The mean time it takes a man to run a mile is known...

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Statistics

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.   

c. Locate the critical value on yourdiagram.    

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