Johnny and Sarah are both on the track team at NC State. They are comparing their times in the 100 meter sprint. Johnny has a time of 12.3 seconds while Sarah has a time of 14.1 seconds. Although Johnny is faster, Sarah argues that when she is compared to other female runners and Johnny is compared to other male runners, Sarah has the faster relative time. The Men's track team at NCSU has an average 100m sprint time of 12.6 seconds with a standard deviation of 0.2. The Women's track team has an average 100m sprint time of 14.6 seconds with a standard deviation of 0.4. Is Sarah's Statement correct and why? (a) Johnny's time is 0.3 seconds below the men's mean, while Sarah's is 0.5 seconds below the women's mean. Sarah's difference is smaller, so Sarah is faster. (b) Johnny's time is 0.3 seconds below the men's mean, while Sarah's is 0.5 seconds below the women's mean. Johnny's difference is smaller, so Johnny is faster. (c) Sarah has a 2 score of -1.25 and Johnny has a Z score of -1.5. The smaller Z score indicates that Sarah is the relatively faster runner. (d) Sarah has a 2 soore of -1.25 and Johnny has a Z score of -1.5. The smaller Z score indicates that Johnny is the relatively faster runner.