38 Stat10-q.pdf - ECON 2201 G Statistical Methods in Economics and Business I Matthew D Webb Winter 2015 Assignment 1 The assignment is worth 12 of the

38 Stat10-q.pdf - ECON 2201 G Statistical Methods in...

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ECON 2201 G Statistical Methods in Economics and Business I Matthew D. Webb - Winter 2015 Assignment 1. The assignment is worth 12% of the final grade. 2. Assignments are due at the beginning of the tutorial on April 8th. 3. No late assignments will be accepted. 4. Students may work in groups, of 5 or fewer individuals. 5. Each individual must hand in their own assignment. 6. You must list your group members’ names, if any, on your assignment. 7. Each question is worth 20 marks. 8. Within each question, all subquestions are equally weighted. Standard Normal p-values Use the table provided to calculate the following probabilities. For each question, provide a rough sketch with a normal curve, and the area that you are calculating shaded in. Recall that the provided table gives the probability that 0 z Z . 1. What is the probability that - 1 . 4 z 1 . 3? 2. What is the probability that z 1 . 25? 3. What is the probability that z 1 . 7? 4. What is the probability that z ≤ - 2 . 05 or z 2 . 05? 5. What is the probability that 1 . 95 z 2 . 05? Samples of Standard Normal Random Variables 1. Use a computer to generate a sample of 50 normally distributed observations with a mean of 5 and a standard deviation of 2. Generate a histogram for your sample. Set the random number seed to the
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