02-03_task.docx - Name Abigail Sexton Date School Bcvss Facilitator 2.03 Normal Calculations Follow the directions for each problem Be sure to write

02-03_task.docx - Name Abigail Sexton Date School Bcvss...

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Name: Abigail Sexton Date: 9/7/20 School: Bcvss Facilitator: 2.03 Normal Calculations Follow the directions for each problem. Be sure to write your answers in complete sentences, clearly identifying the variable of interest. (32 points). 1. A farmer has found that his yearling steers have a mean weight of 1200 pounds with a standard deviation of 75 pounds. He has determined that the weights of the steers fall into a normal model. a. He is hoping to win the State Fair with one of his larger steer. How unusual would it be for him to have a steer that weighs 1350 or more pounds in his herd? Do not use a calculator; graph the area under the normal curve that represents the probability of finding a steer weighing at least 1350 pounds. Show all your work and write in complete sentences. (6 points: three points for graph, three points for explanation) There is about a 2.5 chance that one of his steers would have been a weight of at least 1350lbs. 1350 is 2 standard deviations above the mean, 97.5% of the weights are less than 1350. Meaning it be unusual for the farmer to have a steer that weighs 1350 or
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