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Q3 (30 points) Point spreads of NFL games. During the National Football League (NFL) season, Las Vegas odds makers establish a point spread on each game for betting purposes. For example, the Carolina Panthers were established as 3.5-point favorites over the eventual champion Denver Broncos in the 2016 Super Bowl. The final scores of NFL games were compared against the final point spreads established by the odds makers in Chance (Fall 1998). The difference between the game outcome and point spread (called a point-spread error) was calculated for 240 NFL games. The mean and standard deviation of the point- spread errors are x-bar = -1.6 and s = 13.3. a. Use this information to calculate the 99% confidence interval for the population mean of point-spread error. Based on this interval, is there evidence to say that mean point-spread error differs from O? b. Use the summary statistics to test the hypothesis that mean point-spread error differs from 0. Report the p-value and use alpha=0.01 c. Use the summary statistics to test the hypothesis that mean point-spread error is negative. Report the p-value and use alpha=0.01