1) In the 2009 regular season, pitcher Tim Lincecum of the San Francisco Giants averaged 8.2 strikeouts per game with a standard deviation of 2.8 strikeouts. al Interpret Lincecum's standard deviation. b) If he pitched in one additional game and only had two strikeouts, what effect would that have on the mean and the standard deviation? Explain. cl If he pitched in one additional game and had eight strikeouts, what effect would that have on the mean and the standard deviation? Explain. 2mc) Which of the following statistics are not affected by adding 5 to every value in the data set? a mean b] standard deviation c) median dj none of the above 3mc) Suppose we remove an outlier (on the upper end) from a data set so now the data set has 14 data values instead of 15 data values. Which of the following statements are true? a) The mean would decrease. b] The standard deviation would decrease. c) The range would change. d) All of the above are true. 4) Have the Pittsburgh Pirates been more consistent in their futility than the New York Yankees have been in their excellence? Here are the number of wins per season for 2000 - 2009: Yankees: 87 95 103 101 101 95 97 94 89 103 Pirates: 69 62 72 75 72 67 67 68 67 62 a) Calculate the standard deviation for both teams. Round to the nearest tenth. Yankees: Pirates: bJ Based on your answer to part a, which team is more consistent? Explain. 5mc) Which of the following statistics are affected by multiplying every value in the data set by 2? a) mean b] standard deviation c) range d) all of the above 6Mc) Which of the following causes the standard deviation to decrease? o) Removing dato points from a data set. bj Adding a data point whose value is close to the meon. "] Adding 3 points to every point in the doto set. d) Adding a data point whose value is far from the meon. 7Mc) Given a distribution with a mean of 65 and a standard deviation of 11, what would happen to the standard deviation if one data value of 31 was added to the distribution? a) It would decrease b) It would stay the same c) It would increase d) Not enough information8) In the 2010- 2011 college basketball season, Jimmer Fredette of Brigham Young University was named the National Player of the year by a variety of organizations. The dotplot below shows his distribution of points scored during the 37 games he played in the season. The mean of this distribution is 28.9 points with a standard deviation of 8.7 points. a) Interpret the standard deviation of his points scored. 10 20 30 50 60 Points b) In what percentage of his games did Jimmer score within one standard deviation of his mean? Show work (boundaries) & round to the nearest tenth of a percent. cl In what percentage of his games did Jimmer score within two standard deviations of his mean? Show work (boundaries) & round to the nearest tenth of a percent. d) If Jimmer played one additional game and scored 60 points, what would happen to the mean and standard deviation? Explain. el If Jimmer played one additional game and scored 25 points, wat would happen to the mean and standard deviation of the distribution? Explain. 9) Here are Tim Lincecum's strikeout totals for each of the 32 games he pitched in during the 2009 regular season: 2, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 15. The mean of the distribution is 8.2 and the standard deviation is 2.8. al Display the data in a dotplot. b) In what percentage of his games was his strikeouts within one standard deviation of the mean? Show work (boundaries) & round to the nearest tenth of a percent. c) In what percentage of his games was his strikeouts within two standard deviations of the mean? Show work (boundaries) & round to the nearest tenth of a percent