A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 37 families will be between 16.5 and 17.5 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final answer to four decimal places and intermediate z YDOXH calculations to two decimal places. Source: Michael D. Shook and Robert L. Shook, P (16.5 < X < 17.5) = The Book of Odds. u Course HeroiBrowseQuesr X , a Course HeroiView Question X J D UsabiesnaisAboveeiowa X I, D ZtableiNormaiDistributior >4 6 9 C (D davidm|ane.oomfhypersiatfznablebtml 1% l4- 93' 12.2 14.7 17 2 19.7 22.2 24.7 '3) Area from a value [Use to compute p from Z} 0 Value from an area (Use to compute Z for condence intervals) Specify Parameters: Mean 17-2 SD 2.5 Q Above 1.96 (3' Below 196 @ Between 16.5 and 17.5 D Outside 195 and 1.95 Results: Area (probability) 0.158 Recalculate Precision . E1: Consulting Dissertation Consuiting