**Excerpt: Student Performance Evaluation Using Z-Scores****Grading on a Curve: Statistical Evaluation**If a professor grades on a curve, which might involve assigning A's to the top 10% of the class regardless of raw scores, we must determine whether a student is better off with a particular grade in two different scenarios using statistical analysis.**Scenario Analysis:**- A student has two options: - Grade of 97 on an exam with a mean of 79 and a standard deviation of 9. - Grade of 64 on a different exam where the mean is 61 and the standard deviation is 3.**Statistical Justification:**The student is better off with a grade of 97 on the exam with a mean of 79 and a standard deviation of 9 because the Z value for the grade of 97 is 2.00. Comparatively, the Z value for the grade of 64 on the different exam is also 2.00. Hence, in terms of statistical performance relative to peers, both grades are equivalent, yielding a Z score of 2.00. However, considering the context of grading on a curve, the higher raw score (97) can offer better prospects for achieving top-tier graded recognition (e.g., being in the top 10%) especially in a curve-based grade distribution.*(Note: All calculations are rounded to two decimal places as needed.)*

Given: Better off grade X = 97 μ = 79 σ = 9 And Better off grade X = 64 μ = 61 σ = 3 Formula used: Z…

Answered: d. If the professor grades on a curve…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
2. On the final exam, your friend scored a 93 and you scored a 85. The scores are normally distributed with a mean of 90 and a standard deviation of 10. What percentage of students scored between you and your friend?
Alice was told that her reading test score was one standard deviation below to me if test scores were approximately normal with m= 86 and standard deviation= 4. What was Alice's score?
Suppose the scores on your last Algebra 2 test were normally distributed, with a mean of 81% and a standard deviation of 3%. To show you how you compared to your classmates, the teacher did not record your grades as per- centages, instead, she wrote them as z-scores. You look at your paper and see "2.66" written at the top. What was your score as a percentage? Explain how you determined your answer.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
2. (MMC 6.43). The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Each score ranges from 0 to 200. The mean attitude score for U.S. college students is about 110, and the standard deviation is about 25. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is = 118.3. a. Assuming that o = 25 for the population of older students, carry out a test of Họ: H = Ha:u > 110 Report the P-value of your test and state your conclusion clearly. = 110 b. What are the required assumptions in part (a)?
The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?
You determine that the standard deviation for a sample of test scores is 0. This tells you that 1 all the test scores must be 0. 2 all the test scores must be the same value. 3 there is no straight-line association. 4 the mean test score must also be 0. 5 you made a mistake because the standard deviation can never be 0.
In a study 10 people were given a test. The mean test score was 78.9 points. The standard deviationfor the test scores was 5.2 points. If an 11th person takes the test and scores 77 points, predict what willhappen to the mean and standard deviation. Circle the appropriate conclusion in the sentences below. The mean will increase // decrease // stay the same. The standard deviation will increase // decrease // stay the same.
In class A, Jamir got 85 for his first test. Jamir's class mean was 75 and the standard deviation was 5.In class B, Laurabelle got 80 in her first test. Laurabelle's class mean was 50 and the standard deviation was 10.In a fair comparison of the two students in two different classes, who did better in his or her test. (Compare Jamir and Laurabelle's standing in their classes.Note Z-score gives that information.) Jamir Laurabelle Both did the same none of the above

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