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API-202A+Assignment+1+S09 - API-202A Spring 2009...

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1 API-202A Spring 2009 Assignment #1: Review of Statistics and Intro to Stata Due February 5 th at 5pm (Drop in API202A mailbox inside manila envelope with your KSG mailbox # written outside) The purpose of this exercise is to help you review some key concepts from API-201 and to become familiar with Stata. The assignment has 2 parts: Part I does not require Stata, while Part II does. We have provided a Stata tutorial which will enable you to practice the commands you will need in order to complete this assignment. The Stata tutorial is posted on the course page, together with this assignment. PART I – REVIEW OF STATISTICAL CONCEPTS FROM API-201 In this part of the assignment, we examine math test scores for a sample of California school districts. The appendix to this assignment, which reviews some of the relevant material from API-201, including formulas, may be helpful as you work through the questions. Basic summary statistics for math test scores and the number of computers per student, by district, are reported below. sum math_scr comp_stu Variable | Obs Mean Std. Dev. Min Max -------------+-------------------------------------------------------- math_scr | 420 653.3426 18.7542 605.4 709.5 comp_stu | 420 .1359266 .0649558 0 .4208333 1. Using this table and your knowledge of API-201, report the following statistics. a) Mean math test score ( X ) = b) Variance of math test score ( 2 X S ) = c) Variance of mean math test score ( 2 X S ) = d) Standard error of mean test score ( X S ) =
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2 2. Estimate a 95% confidence interval for the mean math test score in this sample. 3. Some education analysts have speculated that access to computers can increase math achievement. Let’s compare the average math test scores of computer-intensive districts (defined as having a computer per student ratio above the median) with the rest of the districts.
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API-202A+Assignment+1+S09 - API-202A Spring 2009...

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