72 Chapter 2 Graphical Summaries of Data Movies Rated R Hot Tub Time Machine 100 She’s Out of My League 105 Shutter Island 136 Green Zone 115 Greenberg 107 Repo Men 111 Chloe 96 Crazy Heart 111 Cop Out 110 The Crazies 101 The Book of Eli 118 Brooklyn’s Finest 125 The Runaways 105 A Prophet (Un proph`ete) 149 The Last Station 112 Source: Box Office Mojo a. Construct back-to-back stem-and-leaf plots for these data sets. b. Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or are they roughly similar? 23. More weather: Construct a dotplot for the data in Exercise 18. Are there any gaps in the data? 24. Safety first: Following are the numbers of hospitals in each of the 50 U.S. states plus the District of Columbia that won Patient Safety Excellence Awards. Construct a dotplot for these data and describe its shape. 2 15 0 1 4 3 3 0 5 3 5 0 1 15 10 4 7 7 0 8 5 1 4 4 4 11 4 8 4 4 1 13 8 0 0 0 8 0 12 2 0 17 0 10 1 0 3 10 1 10 0 Source: Health Grades, Inc., March 2010 25. Looking for a job: The following table presents the U.S. unemployment rate for each of the years 1986 through 2009. Year Unemployment Year Unemployment 1986 7.0 1998 4.5 1987 6.2 1999 4.2 1988 5.5 2000 4.0 1989 5.3 2001 4.7 1990 5.6 2002 5.8 1991 6.8 2003 6.0 1992 7.5 2004 5.5 1993 6.9 2005 5.1 1994 6.1 2006 4.6 1995 5.6 2007 4.6 1996 5.4 2008 5.8 1997 4.9 2009 9.3 Source: National Bureau of Labor Statistics a. Construct a time-series plot of the unemployment rate. b. For which periods of time was the unemployment rate increasing? For which periods was it decreasing? 26. Vacant apartments: The following table presents the percentage of U.S. residential rental units that were vacant during each quarter from 2006 through 2009. Quarter Vacancy Rate Quarter Vacancy Rate Mar. 2006 9.5 Mar. 2008 10.1 Jun. 2006 9.6 Jun. 2008 10.0 Sep. 2006 9.9 Sep. 2008 9.9 Dec. 2006 9.8 Dec. 2008 10.1 Mar. 2007 10.1 Mar. 2009 10.1 Jun. 2007 9.5 Jun. 2009 10.6 Sep. 2007 9.8 Sep. 2009 11.1 Dec. 2007 9.6 Dec. 2009 10.7 Source: Current Population Survey, U.S. Census Bureau a. Construct a time-series plot for these data. b. From December 2007 through December 2009, the U.S. economy was in a recession. What was the trend in the vacancy rate during this time period? 27. Military spending: The following table presents the amount spent, in billions of dollars, on national defense by the U.S. government every other year for the years 1947 through 2009. The amounts are adjusted for inflation, and represent 2009 dollars. Year Spending Year Spending 1947 108.6 1979 296.3 1949 98.5 1981 335.9 1951 170.0 1983 401.2 1953 359.7 1985 451.3 1955 285.3 1987 479.5 1957 284.8 1989 481.7 1959 293.7 1991 403.2 1961 289.5 1993 409.5 1963 304.4 1995 366.9 1965 280.3 1997 351.8 1967 375.1 1999 348.5 1969 400.2 2001 370.1 1971 347.3 2003 472.8 1973 307.2 2005 546.4 1975 292.8 2007 574.6 1977 285.6 2009 675.1 Source: Center for Strategic Budget Analysis a. Construct a time-series plot for these data. b. The plot covers six decades, from the 1950s through the decade of 2000–2009. During which of these decades did national defense spending increase, and during which decades did it decrease? c. The United States fought in the Korean War from 1950 to 1953. What effect did this have on military spending during that period? d. During the period 1965–1968, the United States steadily increased the number of troops in Vietnam from 23,000 at the beginning of 1965 to 537,000 at the end of 1968. Beginning in 1969, the number of Americans in Vietnam was steadily reduced, with the last of them leaving in 1975. How is this reflected in the national defense spending from 1965 to 1975? 28. College students: The following table presents the numbers of male and female students (in thousands) enrolled in college in the United States as undergraduates for each of the years 1990 through 2008.
navidi_monk_essential_statistics_1e_ch1_3
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