. Do NFL referees call more penalties on the away team than they do on the home team? To investigate this question, the number of penalties called on the away team and home team is recorded for 17 referees during the 2021 NFL season. a. What type of samples - independent or dependent - was taken in this scenario? Explain. Two-tail probability 0.20 0.10 0.05 0.02 0.01 One-tail probability 0.10 0.05 0.025 0.01 0.005 Output HD H1 H2: Mean of the difference between Away and Home Difference Away - Home Mean 4.6470588 Std. Error 2.4568948 DF 16 2222 RE 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 1.319 1.714 2.069 2.500 2.807 24 1.318 1711 2.064 2.492 2.797 b. Use the output above to conduct the appropriate hypothesis test using a significance level of 0.05. (possible p-values: 0.0385, 0.0770, 0.9615) c. Estimate the mean difference in number of penalties called on the away team and home team during NFL games using a 90% confidence interval. d. Do your conclusions in parts b and c agree? Explain how you know.