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3. In a random sample of 80 NFL games, the home team scored an average of...

3. In a random sample of 80 NFL games, the home team scored an average of 25.16 points with standard deviation 10.14. In a separate sample of 78 different games, the away team scored an average of 21.75 points with a standard deviation of 10.33 points. Find a 90% confidence interval for the difference in population mean points scored by home and away home. Round all calculations to three decimal points.

a. Explain why the sample sizes are large enough.

b. Find the appropriate t value: df=_____ t=_____

c. Calculate the 90% confidence interval.

d. Correctly and completely interpret this confidence interval in context. Be sure to mention if the interval indicates that one population mean is larger/smaller than the other or if the interval indicates no statistical difference.

Math   Statistics-And-Probability   
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