Mobile homes are tightly constructed for energy conservation. This can lead to a buildup of indoor pollutants. The paper "A Survey of Nitrogen Dioxide Levels Inside Mobile Homes" discussed various aspects of NO2 concentration in these structures. (a) In one sample of mobile homes in the Los Angeles area, the mean NO2 concentration in kitchens during the summer was 38.78 ppb, and the standard deviation was 11.22. Making no assumptions about the shape of the N02 distribution, what can be said about the percentage of observations between 16.34 and 61.22? (Round the answer to the nearest whole number.) At least '75 i 'z % (b) Inside what interval is it guaranteed that at least 89% of the concentration observations will lie? E\" l4.42 ix ,72.34 J [3].; (c) In a sample of non-Los Angeles mobile homes, the average kitchen NO2 concentration during the winter was 23.16 ppb, and the standard deviation was 16.60. Do these values suggest that the histogram of sample observations did not closely resemble a normal curve? (Hint: What is )7 - 25?) 0 Yes ONO V In 1997 a woman sued a computer keyboard manufacturer, charging that her repetitive stress injuries were caused by the keyboard (Genessey v. Digital Equipment Corporation). The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identied a "normative" group of 27 similar cases and specied a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below. 31 60 75 115 135 140 149 150 232 290 340 410 600 750 750 750 1050 1100 1139 1150 1200 1200 1250 1572 1700 1825 2000 What is the maximum possible amount that could be awarded under the "2-standard deviations rule"? (Round all intermediate calculations and the answer to three decimal places.) l2382222 l x (in thousands of $)