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Name: Class: Date: ID: A Statistics Quiz Lessons 2.1A through 2.2A Free Response - Read the question CAREFULLY and answer it COMPLETELY 1. A study of elite distance runners found a mean body weight of 63.1 kilograms (kg), with a standard deviation of 4.8 kg. (a) Assuming that the distribution of weights is approximately Normal, make an accurate sketch of the weight distribution with the horizontal axis marked in kilograms. (b) Use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kg. 2.Raw scores on behavioral tests are often transformed for easier comparison. A test of reading ability has a mean of 75 and a standard deviation of 10 when given to third-graders. Sixth-graders have a mean score of 82 and a standard deviation of 1 1 on the same test. (a) David is a third-grade student who scores 78 on the test. Nancy is a sixth-grade student who scores 81. Calculate the z-score for each student. Who scored higher within his or her grade