Application of snc
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This document provides examples of using the standard normal distribution to calculate probabilities from exam scores and efficiency ratings that follow a normal distribution. The first example calculates the probability of a randomly selected student scoring below 45, above 73, below 85, and between 50 and 75 based on exam results with a mean of 60 and standard deviation of 9. The second example similarly calculates the number of faculty with efficiency ratings above 86, above 80, and between 80 and 90 given a mean of 86 and standard deviation of 4.25.
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Application of snc
- 1. APPLICATION of the STANDARD NORMAL CURVE
- 2. Xi – X z = s STANDARD SCORE FORMULA
- 3. Example #1 The examination results of a large group of students in Statistics are approximately normally distributed with a mean of 60 and a standard deviation of 9. If a student is chosen at random, what is the probability that his score is: a. below 45? b. above 73? c. below 85? d. between 50 and 75?
- 4. Example # 2: The efficiency rating of 300 faculty members of a certain college were taken and resulted in a mean rating of 86 with a standard deviation of 4.25. Assuming that the set of data are approximately normally distributed, how many of the faculty members have an efficiency rating of: a. greater than 86? b. greater than 80? c. between 80 and 90?