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6. Suppose that the IQ scores of students at a certain college follow a normal distribution with mean 115 and standard deviation 12. a. Draw a sketch of this distribution. Be sure to label the horizontal axis. b. Shade in the area corresponding to the proportion of students with an IQ below 100. Based on this shaded region, make an educated guess as to this proportion. c. Use the normal model to determine the proportion of students with an IQ score below 100. d. Find the proportion of these undergraduates having IQs greater than 130. e. Find the proportion of these undergraduates having IQs between 110 and 130. f. With his IQ of 75, what would the percentile of Forrest Gump's IQ be? g. Determine how high one's IQ must be in order to be in the top 1% of all IQs at this college.

6. Suppose that the IQ scores of students at a certain college follow a normal distribution with mean 115 and standard deviation 12. a. Draw a sketch of this distribution. Be sure to label the horizontal axis. b. Shade in the area corresponding to the proportion of students with an IQ below 100. Based on this shaded region, make an educated guess as to this proportion. c. Use the normal model to determine the proportion of students with an IQ score below 100. d. Find the proportion of these undergraduates having IQs greater than 130. e. Find the proportion of these undergraduates having IQs between 110 and 130. f. With his IQ of 75, what would the percentile of Forrest Gump's IQ be? g. Determine how high one's IQ must be in order to be in the top 1% of all IQs at this college.

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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6. Suppose that the IQ scores of students at a certain college follow a normal distribution with mean 115 and standard deviation 12. a. Draw a sketch of this distribution. Be sure to label the horizontal axis. b. Shade in the area corresponding to the proportion of students with an IQ below 100. Based on this shaded region, make an educated guess as to this proportion. c. Use the normal model to determine the proportion of students with an IQ score below 100. d. Find the proportion of these undergraduates having IQs greater than 130. e. Find the proportion of these undergraduates having IQs between 110 and 130. f. With his IQ of 75, what would the percentile of Forrest Gump's IQ be? g. Determine how high one's IQ must be in order to be in the top 1% of all IQs at this college.
Transcribed Image Text:6. Suppose that the IQ scores of students at a certain college follow a normal distribution with mean 115 and standard deviation 12. a. Draw a sketch of this distribution. Be sure to label the horizontal axis. b. Shade in the area corresponding to the proportion of students with an IQ below 100. Based on this shaded region, make an educated guess as to this proportion. c. Use the normal model to determine the proportion of students with an IQ score below 100. d. Find the proportion of these undergraduates having IQs greater than 130. e. Find the proportion of these undergraduates having IQs between 110 and 130. f. With his IQ of 75, what would the percentile of Forrest Gump's IQ be? g. Determine how high one's IQ must be in order to be in the top 1% of all IQs at this college.
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