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In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below. Pr(0 < z < 0.52) = 0.20, Pr(0 < z < 0.67) = 0.25 Pr(0 < z < 0.84) = 0.30, Pr(0 < z< 1.04) = 0.35, Pr(0 < z < 1.28) = 0.40, Pr(0< z< 1.64) = 0.45. (a) What is the cut-off mark for an A-grade? (b) What is the cut-off mark for a B-grade?

In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below. Pr(0 < z < 0.52) = 0.20, Pr(0 < z < 0.67) = 0.25 Pr(0 < z < 0.84) = 0.30, Pr(0 < z< 1.04) = 0.35, Pr(0 < z < 1.28) = 0.40, Pr(0< z< 1.64) = 0.45. (a) What is the cut-off mark for an A-grade? (b) What is the cut-off mark for a B-grade?

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 22PFA
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5. In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below. Pr(0 < z < 0.52) = 0.20, Pr(0< z < 0.67) = 0.25 Pr(0 < z < 0.84) = 0.30, Pr(0 < z < 1.04) = 0.35, Pr(0 < z < 1.28) = 0.40, Pr(0 < z < 1.64) = 0.45. (a) What is the cut-off mark for an A-grade? (b) What is the cut-off mark for a B-grade?
Transcribed Image Text:5. In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below. Pr(0 < z < 0.52) = 0.20, Pr(0< z < 0.67) = 0.25 Pr(0 < z < 0.84) = 0.30, Pr(0 < z < 1.04) = 0.35, Pr(0 < z < 1.28) = 0.40, Pr(0 < z < 1.64) = 0.45. (a) What is the cut-off mark for an A-grade? (b) What is the cut-off mark for a B-grade?
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