Sports Illustrated discussed the problems TV networks were having telecasting pr

Question

Sports Illustrated discussed the problems TV networks were having telecasting professional football games, due to variations in the amount of time it takes to play a game. Games that took additional time due to high scoring or numerous time-outs often ran into the time slot for the next program, while games that required less time left the networks with time gaps to fill. CBS decided to test the hypothesis that they should allot exactly 3.1 hours for a game. To test this hypothesis, times for 16 games were selected. The results, in hours, are shown here. If = .01, what should CBS do? 2.91 3.21 3.12 2.93 3.19 3.09 2.98 2.95 3.05 3.19 3.17 3.14 2.96 3.10 3.18 3.07

Explanation / Answer

Average = (2.91+3.21+ 3.12+ 2.93+ 3.19+ 3.09+ 2.98+ 2.95+ 3.05+ 3.19+ 3.17+ 3.14+ 2.96+ 3.10+ 3.18+ 3.07) / 16 Average = 3.0775 however if the deviation is expected to be 0.01, than the Maximum time = 3.0775 + 0.01*3.0775 Maximum time = 3.108275 Hours So the CBS should alott a time slot of 3.108275 Hours for a single game.

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