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е. Find her percentile scores for the two exams. (use R-code)

е. Find her percentile scores for the two exams. (use R-code)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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part d+e+f+g+h

Salma who took the Tawjihi exam scored 94.6 in mathematics and 93.7 in physics. The mean score for mathematics for all test takers was 86.1 with a standard deviation of 4.4, and the mean score for physics was 81.7 with a standard deviation of 5.33. Suppose that both distributions are nearly normal. Write down the shorthand (abbreviated formula) for these two normal distributions, e.g., X - N(H, o?). а. b. What is Salma's Z-score in mathematics? And in physics? What do these Z-scores tell you? С. d. Relative to others, which subject did she do better on? e. Find her percentile scores for the two exams. (use R-code) f. What percent of the test takers did better than her in mathematics? And in physics? g. Explain why simply comparing raw scores from the two sections could lead to an incorrect conclusion as to which subject a student did better on. h. If the distributions of the scores on these exams are not nearly normal, would your answers to parts (b) - (f) change? Explain your reasoning.
Transcribed Image Text:Salma who took the Tawjihi exam scored 94.6 in mathematics and 93.7 in physics. The mean score for mathematics for all test takers was 86.1 with a standard deviation of 4.4, and the mean score for physics was 81.7 with a standard deviation of 5.33. Suppose that both distributions are nearly normal. Write down the shorthand (abbreviated formula) for these two normal distributions, e.g., X - N(H, o?). а. b. What is Salma's Z-score in mathematics? And in physics? What do these Z-scores tell you? С. d. Relative to others, which subject did she do better on? e. Find her percentile scores for the two exams. (use R-code) f. What percent of the test takers did better than her in mathematics? And in physics? g. Explain why simply comparing raw scores from the two sections could lead to an incorrect conclusion as to which subject a student did better on. h. If the distributions of the scores on these exams are not nearly normal, would your answers to parts (b) - (f) change? Explain your reasoning.
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