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1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with a mean of 84 and a standard deviation of 5. a. In what range does the middle 90% of all 2nd year students majoring in Civil Engineering lie ? b. Students are given warnings when their average grade falls to and below 80. If so, what proportion of the 2nd year Civil Engineering majors is given warnings? c. What proportion of the 2nd year Civil Engineering majors has an average of 90% and above? Note. Draw the normal curve. Indicate the area by shading the region or portion

1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with a mean of 84 and a standard deviation of 5. a. In what range does the middle 90% of all 2nd year students majoring in Civil Engineering lie ? b. Students are given warnings when their average grade falls to and below 80. If so, what proportion of the 2nd year Civil Engineering majors is given warnings? c. What proportion of the 2nd year Civil Engineering majors has an average of 90% and above? Note. Draw the normal curve. Indicate the area by shading the region or portion

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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1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with a mean of 84 and a standard deviation of 5. a. In what range does the middle 90% of all 2nd year students majoring in Civil Engineering lie ? b. Students are given warnings when their average grade falls to and below 80. If so, what proportion of the 2nd year Civil Engineering majors is given warnings? c. What proportion of the 2nd year Civil Engineering majors has an average of 90% and above? Note. Draw the normal curve. Indicate the area by shading the region or portion 2. Find the values of the following area under the normal curve and shade the area indicated. Refer to the z-table. Express your answers in percentage form. and to the left of z= -2.25 , from -0.63 to z=1.3 , and to the right of z=2.43
Transcribed Image Text:1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with a mean of 84 and a standard deviation of 5. a. In what range does the middle 90% of all 2nd year students majoring in Civil Engineering lie ? b. Students are given warnings when their average grade falls to and below 80. If so, what proportion of the 2nd year Civil Engineering majors is given warnings? c. What proportion of the 2nd year Civil Engineering majors has an average of 90% and above? Note. Draw the normal curve. Indicate the area by shading the region or portion 2. Find the values of the following area under the normal curve and shade the area indicated. Refer to the z-table. Express your answers in percentage form. and to the left of z= -2.25 , from -0.63 to z=1.3 , and to the right of z=2.43
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