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Direction: Solve the following problems: 1. On a final examination in Statistics, the mean was 86 and the standard deviation is 4. Detemine the standard score of the student who received a score of 92 assuming the scores are normally distributed.

Direction: Solve the following problems: 1. On a final examination in Statistics, the mean was 86 and the standard deviation is 4. Detemine the standard score of the student who received a score of 92 assuming the scores are normally distributed.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Direction: Solve the following problems: 1. On a final examination in Statistics, the mean was 86 and the standard deviation is 4. Detemine the standard score of the student who received a score of 92 assuming the scores are normally distributed. 2. Ben gets a score of 75 in a Chemistry test and 70 in a Physics test. Scores in a Chemistry test have a mean of 65 and a standard deviation of 6. Scores in the Physics test have a mean of 66 and a standard deviation of 2. In which subject is her standing better assuming that the scores in the two subjects are nomally distributed? 3. In a Mathematics test, the mean is 50 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of the scores is: a. greater than 55? b. less than 60? c. between 40 and 55?
Transcribed Image Text:Direction: Solve the following problems: 1. On a final examination in Statistics, the mean was 86 and the standard deviation is 4. Detemine the standard score of the student who received a score of 92 assuming the scores are normally distributed. 2. Ben gets a score of 75 in a Chemistry test and 70 in a Physics test. Scores in a Chemistry test have a mean of 65 and a standard deviation of 6. Scores in the Physics test have a mean of 66 and a standard deviation of 2. In which subject is her standing better assuming that the scores in the two subjects are nomally distributed? 3. In a Mathematics test, the mean is 50 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of the scores is: a. greater than 55? b. less than 60? c. between 40 and 55?
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