Critical Thinking: Did the NFL Rule Change Have the Desired Effect?
Among 460 overtime National Football League (NFL) games between 1974 and 2011, 252 of the teams that won the over- time coin toss went on to win the game. During those years, a team could win the coin toss and march down the Field to win the game with a field goal, and the other team would never get possession of the ball. That just didn’t seem fair. Starting in 2012, the overtime rules were changed. In the first three years with the new overtime rules, 47 games were decided in overtime and the team that won the coin toss won 24 of those games.
Analyzing the Results
1. First explore the two proportions of overtime wins. Does there appear to be a difference? If so, how?
2. Create a claim to be tested, then test it. Use a hypothesis test as well as a confidence interval.
3. What do you conclude about the effectiveness of the over-time rule change?
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Chapter 9 Solutions
ELEMENTARY STATISTICS-MYLAB STAT.ACCESS
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- 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? [Note: It is not generally true that E(c/Y) = c/E(Y).]arrow_forward74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O .40 .11 .04 .45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?arrow_forward53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?arrow_forward
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