# Lab030304 - Let's look at the exam result of E370 first...

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Let's look at the exam result of E370 first Saturday exam. It's taken from all sections. Assume that the scores follow a normal distribution with mean 70.55 and standard deviation 14.76. Please answer question 1 to 5. 1. Kevin's score for the test is 90. Calulate the relative magnitude of the score in terms of percentiles. 2. What is the proportion of students whose scores are from 70 to 92? 3. Calculate z-scores for 70 and 92. Then get the probability using the standard normal distribution. Do you 4. 40% of all students score less than John. Calculate John's score. 5. What is the z-score associated with John's score? Use z-score and the standard normal distribution to get the probability that one will score more than John Now suppose that somehow we couldn't get the standard devaition of the scores of the whole E370 A sample of Guang's section which has 82 E370 students is taken to get the standard deviation whi Please answer question 6 to 9.

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