Problem 1) The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Supp

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Problem 1 The Virginia Cooperative Extension Reports That The Mean Weight Of Yearling Angus Steers Is 1152 Pounds Supp 1 (34 KiB) Viewed 149 times

Problem 1) The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Suppose that the weights of all such animals can be described by a normal model with a mean u of 1152 pounds as stated, and a standard deviation o of 84 pounds. Answer the following based on that model. For parts a through f. your answer should include a sketch of the distribution showing u and the area of interest shaded and the calculation itself. a) What proportion of Angus steers weighs more than 1400 pounds? b) What proportion of Angus steers weighs less than 1202 pounds? c) What proportion of Angus steers weighs between 887 and 1075 pounds? d) What is the value for Q1 for the weights? e) A rancher wants to examine the smallest 20% of his herd. What is the corresponding cutoff weight? f) A particular buyer wants to purchase the largest 15% of the herd. What is the corresponding cutoff weight? e) Based on z scores, which would be more unusual, a steer weighing 1000 pounds or one weighing 1250 pounds? No sketch needed h) Sketch the distribution for the weight of these cattle showing the mean and the weights corresponding to the 68-95-99.7 rule. 1) What are the individuals? What is the response variable and its units and type?