For a sports podcast, you are asked to research the question whether more home runs are hit by players in the National League or by players in the American League. You decide to use the home run leaders from each league for a 40 -year period as your data. The numbers are shown.

Using the data given, answer the following questions.
1. Define a population.
2. What kind of sample was used?
3. Do you feel that the samples are representative?
4. What are your hypotheses?
5. What significance level will you use?
6 . What statistical test will you use?
7. What are the test results? (Assume \(\sigma_{1}=8.8\) and \(\sigma_{2}=7.8\).)
8. What is your decision?
9. What can you conclude?
10. Do you feel that using the data given really answers the original question asked?
11. What other data might be used to answer the question?

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**** National League 70 39 50 4 8 45 5 8 31 48 45 45 36 American League 3573 BESS It t 23 24 4889 $988