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Solve the following by applying the concepts of percentiles under the normal curve. Show complete solution and draw the normal curve 1. In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.. a. What is the minimum score that belongs to the upper 15% of the group? s) b. What is the two extreme scores outside of which 15% of the group are expected to fall? c. What is the score that divide the distribution into two such that 75% of the cases below it? (

Solve the following by applying the concepts of percentiles under the normal curve. Show complete solution and draw the normal curve 1. In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.. a. What is the minimum score that belongs to the upper 15% of the group? s) b. What is the two extreme scores outside of which 15% of the group are expected to fall? c. What is the score that divide the distribution into two such that 75% of the cases below it? (

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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Performance Check 3 Solve the following by applying the concepts of percentiles under the normal curve. Show complete solution and draw the normal curve 1. In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.. a. What is the minimum score that belongs to the upper 15% of the group? ( 5) b. What is the two extreme scores outside of which 15% of the group are expected to fall? c. What is the score that divide the distribution into two such that 75% of the cases below it? ( d. Estimate the range of scores that will include the middle 45% of the distribution.
Transcribed Image Text:Performance Check 3 Solve the following by applying the concepts of percentiles under the normal curve. Show complete solution and draw the normal curve 1. In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.. a. What is the minimum score that belongs to the upper 15% of the group? ( 5) b. What is the two extreme scores outside of which 15% of the group are expected to fall? c. What is the score that divide the distribution into two such that 75% of the cases below it? ( d. Estimate the range of scores that will include the middle 45% of the distribution.
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