2.03 dropbox.docx - 2.03 Normal Calculations Follow the directions for each problem Be sure to write your answers in complete sentences clearly

# 2.03 dropbox.docx - 2.03 Normal Calculations Follow the...

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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. (38 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) *Graph attached separately. There is about a 2.5% chance that one of his steers would have a weight of at least 1350 pounds. 1350 is 2 standard deviations above the mean, meaning that 97.5% of the weights are less than 1350. This means that it would be relatively unusual for the farmer to find a

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