MATH 214 Midterm: MATH214_ALL-SECTIONS_SPRING2011_0000_MID_SOL
10 Jan 2019
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With that assumption, we draw a dotplot with five dots on 13. We need to figure out where to place one more dot so that the dotplot would balance at 15. Each of the five dots on 13 is two spaces below the pivot; together they total 10 spaces below the pivot. In order to balance, therefore, we have to put our sixth dot 10 spaces above the pivot, which is at 25. This means finding a 200-hour powercell: a) z = 3/4. 2 = 0. 71; table gives 0. 7611, so 76. 1% of batteries last less than 196 hours. battery is (slightly) more likely than finding a 200-hour evergo battery. The 200-hr powercell battery has a z- score closer to 0, which makes it less unusual. (you can also translate these z-scores into percents, if you want: 5. 1% of powercell batteries last longer than 200 hours, but only 4. 8% of evergo batteries do. ) There is, however, a sizable gap between the minimum.
