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### hw1sol

Course: STAT 111, Fall 2008
School: UPenn
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Word Count: 391

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About 1.10 22% of Brand A dishwashers needed a service call, while 40% of Brand B dishwashers did. 1.12 (a) See the graph below. (b) Total deaths or deaths from all other causes. 14000 12000 10000 8000 6000 4000 2000 0 R espi r at or y H i ci des om A dent s cci S ci de ui D ect s ef C ancer 1.16 The original plot showed the symmetry better. In the split plot, there is more variability in the rows, which...

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About 1.10 22% of Brand A dishwashers needed a service call, while 40% of Brand B dishwashers did. 1.12 (a) See the graph below. (b) Total deaths or deaths from all other causes. 14000 12000 10000 8000 6000 4000 2000 0 R espi r at or y H i ci des om A dent s cci S ci de ui D ect s ef C ancer 1.16 The original plot showed the symmetry better. In the split plot, there is more variability in the rows, which is distracting. 10|9 11|0 11| 12|1344 12|677889 13|00124 13|55566789999 14|1122234444 14|5789 15|224 15|78999 1.18 The shape is skewed to the right. This means that there are more short words (3-4 letters), but there are a few quite long words (> 10 letters). We would expect the distribution of other authors to be similar, because short words are common. Further, because the center is fairly close to zero, word lengths can be only a little less than the center but can be rather longer than the center. H t ear AD I S 1.24 There are no obvious differences between the two distributions. Both centers are between 110 and 115. 9 10 10 11 11 12 12 13 13 8 2 9 0224 79 3 0 0 2 77 2210 3 9 6 1.34 (a) Table is below. Age 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 100-109 1950 19.4 14.4 15.9 15.1 12.8 10.3 7.3 3.6 1.1 0.1 0.0 2050 13.2 13.2 12.7 12.5 11.8 11.1 10.1 7.7 5.4 2.2 0.3 (b) Children under 10 are the largest group. Slight for dip the 10-19 group and then gradually declining. (c) In 2050, age categories are more even, with only slightly fewer in the 60-69 group than in the 0-9 group. The 90-100 and >100 categories are much larger than in 1950. 1.48 (a) Mean = 48.25, Median = 37.80. Because the mean is larger, the distribution is rightskewed. (b) Min = 2, Q1 = 21.4, Median = 37.8, Q3 = 60.75, Max = 204.9. The great distance between Max and Q3, compared to Min and Q1, indicated the skewness. 1.74 (a) x = 5.4479, s = 0.2209. (b) Cavendish found the density of the earth to be 5.5 times the density of water. This density is 62.43 lb/cu-ft, so his value of 5.5 is 5.5 62.43 = 343.365 lb/cu-ft. The mean is 340.11 lb/cu0ft and the standard deviation is 13.79 lb/cu-ft. 1.76 To trim 10% , remove the top and bottom seven values. To trim 20...

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