09.07 Honors Project.docx - 09.07 Segment Two Honors...

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09.07 Segment Two Honors Project Task 1—Normal Distribution Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter. Dear Marcus, Congratulations on your high score, but you can’t have a certificate because they are only given to students whose scores are in the top 2% and your score of 13.7 just wasn’t high enough. You see, the mean or average of these scores this year is 12.89 and the standard deviation is 1.95. This means that if you add and then subtract 1.95 to 12.89, you get 10.94 and 14.84 which then represent the average range. So this means those scoring between 10.94 and 14.84 are average. Since you scored 13.7, you’re within the average range and are not in the top 2% so you won’t receive a certificate, I’m afraid. Please continue studying hard, though, and maybe next year your score will be high enough to get one. Yours, Camden Task 2—Non-Linear Systems of Equations Create a system of equations that includes one linear equation and one quadratic equation.
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