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A study by W. F. Woodward in 1970 explored whether taking a narrow angle or a wide angle while rounding first base would increase your time to second base. Narrow angle Wide angle

In Woodwards study, he used a stopwatch to time 22 different runners going from a spot 35 feet past home to a spot 15 feet before second. He had each runner use each method, with a rest period in between. Here are the summary statistics on the difference in times (narrowwide) for the 22 players sample sizesecpnds Sample average Sample SD (seconds) Difference - NarroW-Wide d 0.0773 d 0.0926 Use an appropriate theory-based method to investigate whether the choice of angle affects the running time. Be sure to find and report a standardized statistic and p-value. Round the test statistic to 2 decimal places, e.g. 5.83, and the p-value to 3 decimal places, e.g. 0.058. *1, p-value- Answer *1: the absolute tolerance is +/-0.01 Answer *2: the absolute tolerance is +/-0.001 Use an appropriate theory-based method to find and report a 95% confidence interval for the parameter of interest. Round your answers to 2 decimal places, e.g. 5.83. Confidence interval - ( Answer *1: the absolute tolerance is +/-0.01 2) Answer *2: the absolute tolerance is +/-0.01 We have strong evidence that the average difference in running time comparing narrow to wide angle is not o, with longer running times for the narrow angle. O True False The results suggest a cause-and-effect relationship between running time and choice of angle and we can generalize this conclusion to all baseball players

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Null and alternative hypotheses Ho i lud - oooo Hi: els toca Test statistic t 0.0773 -10.0926/ toard t P-value Two P-uali =3-

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