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Quiz Solutions for Advanced Celestial Mechanics MA 110-91, Exercises of Mathematical Methods for Numerical Analysis and Optimization

The solutions for quiz #7 in professor lou zer's advanced celestial mechanics course, ma 110-91. It includes the calculation for determining the cut-off score for an a based on a mean of 78 and a standard deviation of 9 for 250 students, as well as the number of individuals required for a 95% confidence level with a margin of error of 3%, and the number of individuals needed for a margin of error of 2%.

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MA 110-91
§4.4 4.5 Quiz #7 score
Name:
4 November 2000
1. Prefessor Lou Zer is teaching a very popular course in advanced celestial mechanics with
250 students. The scores on the first test have a mean of 78 and a standard deviation of
9. If Professor Zer wants to have 50 students earn an A on the first test, what should the
cut-off score be for a A? (7 points)
2. How many individuals would need to be questioned in a survey if we want to have a level
of confidence of 95% with a possible margin of error of 3%? Suppose we need a MOE of 2%
with confidence level 95% how many individuals are needed in the sample? (10 points)

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MA 110-

Quiz

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Name:

4 November 2000

  1. Prefessor Lou Zer is teaching a very popular course in advanced celestial mechanics with 250 students. The scores on the first test have a mean of 78and a standard deviation of
    1. If Professor Zer wants to have 50 students earn an A on the first test, what should the cut-off score be for a A? (7 points)
  2. How many individuals would need to be questioned in a survey if we want to have a level of confidence of 95% with a possible margin of error of 3%? Suppose we need a MOE of 2% with confidence level 95% – how many individuals are needed in the sample? (10 points)