Exam for Math - Name _ _ Exam 1 Part 1: Chapters 1-5 Math...

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Name ___ ______________________________ Exam 1 Part 1: Chapters 1-5 Math &146 Spring 2010 Instructions: Show work for each question. Partial credit will be awarded based on work shown. This includes showing what was entered into the calculator and sketching the Normal distributions. To clarify the final solution, box it. There is a 120 minute time limit. A graphing calculator must be used. Each problem is worth 4 points. There are 4 extra credit points possible. Assume all rounding to be at 4 decimal places Problems 1-6 [4 points each] The lengths of pregnancies in a small rural village are Normally distributed with a mean of 265 days and a standard deviation of 13 days. 1. What proportion of pregnancies are longer than 275 days? 2. 10% of pregnancies last longer than how many days? 3. What proportion of pregnancies are longer than 250 days and shorter than 280? 4. Using the 68-95-99.7 Rule, what pregnancies lengths make up the middle 95%? 5. Is this distribution considered a standard Normal distribution ? If not, what mean and standard deviation would make it a standard Normal distribution? 6. Suppose Ana ’s pregnancy lasted 270 days. a. What is her z- score? b. If another woman in the hospital gave birth on the same day as she did with a z -score of 0, who conceived first?
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Exam 1 Math 146 Spring ’10 Page 2 Problems 7-8 A sample was taken of the verbal SAT scores of applicants to a California State College. The following is a box-plot of the scores. 7. What is the approximate scores for the middle 50% of the verbal SAT scores above? 8. State three other useful facts about the box-plot above. In other words, list three pieces of information you can gather from the plot. Problems 7-11 [5 points each] In a Statistics class with 136 students, the professor records how much money each student has in his or her possession during the first class of the semester. The histogram below is of the data collected. 9. From the histogram above, in what interval(s) can the median be found? 10.
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Exam for Math - Name _ _ Exam 1 Part 1: Chapters 1-5 Math...

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