lestion 3 Does the physiology of women make them better suited than men to long-distance running? Will women eventually outperform men in long-distance races? In 1992, researchers examined data on world record times (in seconds) for men and women in the marathon. The table contains the data for women. Year 1926 1964 1967 1970 1971 1974 1975 Time 13222.0 11973.0 11246.0 10973.0 9990.0 9834.5 9499.0 Year 1977 1980 1981 1982 1983 1985 Time 9287.5 9027.0 8806.0 8771.0 8563.0 8466.0 The table contains the data for men. Year 1908 1909 1913 1920 1925 1935 1947 Time 10518.4 9751.0 9366.6 9155.8 8941.8 8802.0 8739.0 Year 1952 1953 1954 1958 1960 1963 1964 Time 8442.2 8314.8 8259.4 8117.0 8116.2 8068.0 7931.2 Inn. Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Freeman 36 FEB 10Question 3 of 14 The table contains the data for men. Year 1908 1909 1913 1920 1925 1935 1947 Time 10518.4 9751.0 9366.6 9155.8 8941.8 8802.0 8739.0 Year 1952 1953 1954 1958 1960 1963 1964 Time 8442.2 8314.8 8259.4 8117.0 8116.2 8068.0 7931.2 Year 1965 1967 1969 1981 1984 1985 1988 Time 7920.0 7776.4 7713.6 7698.0 7685.0 7632.0 7610.0 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! STATE: What do the data show about women's and men's times in the marathon? PLAN: Using the software of your choice, plot both sets of data on the same plot, using two different plotting symbols. Question Source: Moore, The Basic Practice Of Statistics, 8e | Publisher: W.H. Freeman 36 FEB 10 tvQuestion 3 of 14 Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years, but men's times have improved at a faster rate. Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years at approximately the same rate. The data does not give a definitive trend in the data for either of the sexes. Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years, but women's times have improved at a faster rate. SOLVE: Based on these data, researchers (in 1992) predicted that women would outrun men in the marathon in 1998. How do you think they arrived at this date? By inspecting the plot, one might guess that the lines that fit these data sets will meet around 1998. It looked like the linear approximations would cross in 1998. O By inspecting the plot, one might guess that the curves that fit these data sets will meet around 1998. It looked like the linear approximations would cross in 1998. By inspecting the plot, one might guess that the lines that fit these data sets will meet around 1986. It looked like the linear approximations would cross in 1986. O By inspecting the plot, one might guess that the lines that fit these data sets will meet around 1990. The researchers allowed a margin of error on either side of 1990. Question Source: Moore, The Basic Practice Of Statistics, 8e | Publisher: W.H. Freeman 36 FEB 10 atvQuestion 3 of 14 Time 7920.0 7776.4 7713.6 7698.0 7685.0 7632.0 7610.0 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! STATE: What do the data show about women's and men's times in the marathon? PLAN: Using the software of your choice, plot both sets of data on the same plot, using two different plotting symbols. O Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years, but men's times have improved at a faster rate. O Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years at approximately the same rate. The data does not give a definitive trend in the data for either of the sexes. Men's and women's times have grown closer over time. Both sexes have improved their record marathon times over the years, but women's times have improved at a faster rate. SOLVE: Based on these data, researchers (in 1992) predicted that women would outrun men in the marathon in 1998. How think. the . at thin data? Question Source: Moore, The Basic Practice Of Statistics, 8e | Publisher: W.H. Freeman 36 FEB 10