Imagine that you were hired as a consultant for Arizona State University. ASU has provided you with data from the National Center for Education Statistics for four-year universities for the 2016-2017 academic year. Summary statistics for four indicators are provided below. Assume each indicator is normally distributed. Answer all of the questions for each of the four indicators. Show your work and make sure your final answers are easy to identify. You can round your answers to two digits after the decimal point.
Imagine that you were hired as a consultant for Arizona State University. ASU has provided you with data from the National Center for Education Statistics for four-year universities for the 2016-2017 academic year. Summary statistics for four indicators are provided below. Assume each indicator is normally distributed. Answer all of the questions for each of the four indicators. Show your work and make sure your final answers are easy to identify. You can round your answers to two digits after the decimal point.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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please answer part number 4 of the question uploaded in the image
![Part I: Calculating Z Scores and Using the Standard Normal Table
Imagine that you were hired as a consultant for Arizona State University. ASU has
provided you with data from the National Center for Education Statistics for four-year
universities for the 2016-2017 academic year. Summary statistics for four indicators are
provided below. Assume each indicator is normally distributed. Answer all of the
questions for each of the four indicators. Show your work and make sure your final
answers are easy to identify. You can round your answers to two digits after the decimal
point.
Indicator 1: SAT Math score for students admitted in 2016 who scored in the in the 75h
percentile (variable name: SATmath75th).
ASU West's score: 580
• University of Arizona's score: 790
Variable
Obs
Mean
Std. Dev.
Min
Max
SATmath75th
1,223
584.27
74.90
380.00
800.00
1. Identify the Z score that corresponds to ASU West's score
Answer:
2. Identify the percentage of universities with scores below ASU West's score
Answer:
3. Suppose ASU West would like to be in the same percentile as the University of
Arizona. What percentile would that be?
Answer:
4. Suppose ASU West would like to be in the top 10% of universities for this
indicator. What score would ASU West need to have?
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbd80d41-3665-4e44-8c4f-62be1faa21b4%2Ff265c6d7-25c5-4b18-a714-7512cbe6f4d6%2F7uxz504_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part I: Calculating Z Scores and Using the Standard Normal Table
Imagine that you were hired as a consultant for Arizona State University. ASU has
provided you with data from the National Center for Education Statistics for four-year
universities for the 2016-2017 academic year. Summary statistics for four indicators are
provided below. Assume each indicator is normally distributed. Answer all of the
questions for each of the four indicators. Show your work and make sure your final
answers are easy to identify. You can round your answers to two digits after the decimal
point.
Indicator 1: SAT Math score for students admitted in 2016 who scored in the in the 75h
percentile (variable name: SATmath75th).
ASU West's score: 580
• University of Arizona's score: 790
Variable
Obs
Mean
Std. Dev.
Min
Max
SATmath75th
1,223
584.27
74.90
380.00
800.00
1. Identify the Z score that corresponds to ASU West's score
Answer:
2. Identify the percentage of universities with scores below ASU West's score
Answer:
3. Suppose ASU West would like to be in the same percentile as the University of
Arizona. What percentile would that be?
Answer:
4. Suppose ASU West would like to be in the top 10% of universities for this
indicator. What score would ASU West need to have?
Answer:
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